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Longer titles found: Ring theory (disambiguation) (view), Ring theory (psychology) (view), Ideal (ring theory) (view), Unit (ring theory) (view), Domain (ring theory) (view), Annihilator (ring theory) (view), Center (ring theory) (view), Idempotent (ring theory) (view), Order (ring theory) (view), Glossary of ring theory (view), Divisibility (ring theory) (view), O-ring theory of economic development (view), Depth (ring theory) (view), Approximation property (ring theory) (view), V-ring (ring theory) (view), Conductor (ring theory) (view), Grade (ring theory) (view)

searching for Ring theory 93 found (576 total)

alternate case: ring theory

Concentric zone model (660 words) [view diff] no match in snippet view article find links to article

The concentric zone model, also known as the Burgess model or the CCD model, is one of the earliest theoretical models to explain urban social structures
Flat module (4,590 words) [view diff] exact match in snippet view article find links to article
(1970), Commutative algebra Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University
Flat morphism (3,522 words) [view diff] no match in snippet view article find links to article
In mathematics, in particular in algebraic geometry, a flat morphism f from a scheme X to a scheme Y is a morphism such that the induced map on every stalk
Michael Artin (872 words) [view diff] exact match in snippet view article find links to article
interest from algebraic geometry to noncommutative algebra (noncommutative ring theory), especially geometric aspects, after a talk by Shimshon Amitsur and
Freshman's dream (1,124 words) [view diff] no match in snippet view article find links to article
The freshman's dream is a name given to the erroneous equation ( x + y ) n = x n + y n {\displaystyle (x+y)^{n}=x^{n}+y^{n}} , where n {\displaystyle n}
Associator (488 words) [view diff] exact match in snippet view article find links to article
c=(a\cdot (b\cdot c))\cdot (a,b,c)} for all a, b, c in Q. As with its ring theory analog, the quasigroup associator is a measure of nonassociativity of
Artin–Zorn theorem (202 words) [view diff] no match in snippet view article find links to article
In mathematics, the Artin–Zorn theorem, named after Emil Artin and Max Zorn, states that any finite alternative division ring is necessarily a finite field
Cohen structure theorem (371 words) [view diff] no match in snippet view article find links to article
In mathematics, the Cohen structure theorem, introduced by Cohen (1946), describes the structure of complete Noetherian local rings. Some consequences
List of lemmas (525 words) [view diff] no match in snippet view article find links to article
This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list
Going up and going down (1,193 words) [view diff] no match in snippet view article find links to article
In commutative algebra, a branch of mathematics, going up and going down are terms which refer to certain properties of chains of prime ideals in integral
Pure mathematics (1,826 words) [view diff] exact match in snippet view article find links to article
could be drawn from ring theory. In that subject, one has the subareas of commutative ring theory and non-commutative ring theory. An uninformed observer
Ascending chain condition on principal ideals (896 words) [view diff] no match in snippet view article find links to article
In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two-sided ideals of a
System of parameters (175 words) [view diff] no match in snippet view article find links to article
In mathematics, a system of parameters for a local Noetherian ring of Krull dimension d with maximal ideal m is a set of elements x1, ..., xd that satisfies
Mori–Nagata theorem (224 words) [view diff] no match in snippet view article find links to article
In algebra, the Mori–Nagata theorem introduced by Yoshiro Mori (1953) and Nagata (1955), states the following: let A be a noetherian reduced commutative
Regev's theorem (86 words) [view diff] no match in snippet view article find links to article
In abstract algebra, Regev's theorem, proved by Amitai Regev (1971, 1972), states that the tensor product of two PI algebras is a PI algebra. Regev, Amitai
Auslander–Buchsbaum theorem (153 words) [view diff] no match in snippet view article find links to article
In commutative algebra, the Auslander–Buchsbaum theorem states that regular local rings are unique factorization domains. The theorem was first proved
Boolean prime ideal theorem (2,256 words) [view diff] exact match in snippet view article find links to article
appropriate notions of ideals, for example, rings and prime ideals (of ring theory), or distributive lattices and maximal ideals (of order theory). This
Lorenzo Ramero (308 words) [view diff] exact match in snippet view article find links to article
p-adic Hodge theory. This work is systematized in their monograph Almost ring theory. More foundational material was developed after the first book, and especially
Kernel (category theory) (950 words) [view diff] exact match in snippet view article
morphisms. Nevertheless, there is still a notion of kernel studied in ring theory that corresponds to kernels in the category of non-unital rings. In the
Beauville–Laszlo theorem (1,161 words) [view diff] no match in snippet view article find links to article
In mathematics, the Beauville–Laszlo theorem is a result in commutative algebra and algebraic geometry that allows one to "glue" two sheaves over an infinitesimal
Posner's theorem (122 words) [view diff] no match in snippet view article find links to article
In algebra, Posner's theorem states that given a prime polynomial identity algebra A with center Z, the ring A ⊗ Z Z ( 0 ) {\displaystyle A\otimes _{Z}Z_{(0)}}
Serre's criterion for normality (957 words) [view diff] no match in snippet view article find links to article
In commutative algebra, Serre's criterion for normality, introduced by Jean-Pierre Serre, gives necessary and sufficient conditions for a commutative Noetherian
Bill Schelter (210 words) [view diff] exact match in snippet view article find links to article
University in 1972. His mathematical specialties were noncommutative ring theory and computational algebra and its applications, including automated theorem
Derived tensor product (449 words) [view diff] no match in snippet view article find links to article
In algebra, given a differential graded algebra A over a commutative ring R, the derived tensor product functor is − ⊗ A L − : D ( M A ) × D ( A M ) →
Kaplansky's theorem on projective modules (1,886 words) [view diff] exact match in snippet view article find links to article
"Bass's work in ring theory and projective modules". arXiv:math/0002217. MR1732042 Matsumura, Hideyuki (1989), Commutative Ring Theory, Cambridge Studies
Ofer Gabber (210 words) [view diff] case mismatch in snippet view article find links to article
proof of a conjecture stated by Kac in 1968. With Lorenzo Ramero: Almost Ring Theory, Springer, Lecture Notes in Computer Science, vol 1800, 2003. With Brian
Theorem of transition (270 words) [view diff] exact match in snippet view article find links to article
Krieger. ISBN 978-0-88275-228-0. Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University
Phillip Griffith (149 words) [view diff] exact match in snippet view article find links to article
of Illinois at Urbana-Champaign who works on commutative algebra and ring theory. He received his PhD from the University of Houston in 1968. Griffith
Height (1,037 words) [view diff] exact match in snippet view article find links to article
among other uses in commutative algebra and representation theory; In ring theory, the height of a prime ideal is the supremum of the lengths of all chains
Bijan Davvaz (93 words) [view diff] exact match in snippet view article find links to article
Mathematics at Yazd University. He is known for his works on group theory, ring theory and module theory. Groups and Symmetry: Theory and Applications A First
Miles Reid (331 words) [view diff] case mismatch in snippet view article find links to article
(ISBN 978-3642380099) And he has also translated Matsumura's Commutative Ring Theory, Cambridge University Press 1987, doi:10.1017/CBO9781139171762 Miles
Howell normal form (885 words) [view diff] exact match in snippet view article find links to article
In linear algebra and ring theory, the Howell normal form is a generalization of the row echelon form of a matrix over Z N {\displaystyle \mathbb {Z}
Genetic algebra (1,121 words) [view diff] exact match in snippet view article find links to article
Martínez, C. (2001), "About Bernstein algebras", in Granja, Ángel (ed.), Ring theory and algebraic geometry. Proceedings of the 5th international conference
Algebraic combinatorics (1,289 words) [view diff] case mismatch in snippet view article find links to article
(1977). "Cohen–Macaulay rings, combinatorics, and simplicial complexes". Ring Theory II: Proceedings of the Second Oklahoma Conference. Lecture Notes in Pure
List of conjectures (1,461 words) [view diff] exact match in snippet view article find links to article
Jacobian determinant) 2860 Jacobson's conjecture ring theory Nathan Jacobson 127 Kaplansky conjectures ring theory Irving Kaplansky 466 Keating–Snaith conjecture
Daniel Quillen (939 words) [view diff] exact match in snippet view article find links to article
successful in formulating and solving problems in algebra, particularly in ring theory and module theory. More generally, Quillen developed tools (especially
Free module (1,808 words) [view diff] exact match in snippet view article find links to article
Encyclopedia of Mathematics, EMS Press. Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University
Spiral antenna (1,131 words) [view diff] exact match in snippet view article find links to article
energy during propagation through the spiral arms to produce radiation. Ring theory (band theory) explains the working principle of spiral antenna. The theory
Israel Kleiner (mathematician) (694 words) [view diff] exact match in snippet view article
Vol. 71, 1998, pp. 105–111 From numbers to rings: an early history of ring theory, Elemente der Mathematik, Vol. 53, 1998, pp. 18–35 Proof: a many-splendored
Mori domain (284 words) [view diff] exact match in snippet view article find links to article
in Glaz, Sarah; Chapman, Scott T. (eds.), Non-Noetherian commutative ring theory, Mathematics and its Applications, vol. 520, Dordrecht: Kluwer Acad.
Ranthony Edmonds (410 words) [view diff] exact match in snippet view article find links to article
C. Edmonds is an American mathematician specializing in commutative ring theory, factorization theory, and applied algebraic topology. She is a postdoctoral
Ring 0 (119 words) [view diff] exact match in snippet view article find links to article
access a switchboard operator Zero ring, the trivial ring in mathematics ring theory O̊, the letter "O" with a ring diacritical mark Search for "ring zero"
Almost all (2,577 words) [view diff] case mismatch in snippet view article find links to article
a Subset?". In Hazewinkel, Michiel (ed.). Non-Noetherian Commutative Ring Theory. Mathematics and Its Applications. Vol. 520. Springer. p. 85. doi:10
Null ideal (58 words) [view diff] exact match in snippet view article find links to article
sets in measure theory An ideal that is a pseudo-ring of square zero in ring theory This disambiguation page lists mathematics articles associated with the
Injective hull (1,052 words) [view diff] case mismatch in snippet view article find links to article
2140/pjm.1958.8.511, ISSN 0030-8730, MR 0099360 Matsumura, H. Commutative Ring Theory, Cambridge studies in advanced mathematics volume 8. Mitchell, Barry
Height (disambiguation) (206 words) [view diff] exact match in snippet view article
invariant that captures the divisibility properties of an element Height (ring theory), a measurement in commutative algebra Height (triangle) or altitude
Incidence poset (423 words) [view diff] exact match in snippet view article find links to article
number of edges in a graph of bounded dimension, with applications to ring theory", Discrete Mathematics, 201 (1–3): 5–19, doi:10.1016/S0012-365X(98)00309-4
Stages of development (603 words) [view diff] exact match in snippet view article find links to article
external forces Dual-sector model, a model in developmental economics O-Ring theory of economic development, a model of economic development put forward
Max August Zorn (743 words) [view diff] exact match in snippet view article find links to article
the maximal element. He illustrated the principle with applications in ring theory and field extensions. Zorn's lemma is an alternative expression of the
Ayşe Soysal (464 words) [view diff] exact match in snippet view article find links to article
Department of Mathematics as an adjunct professor. He taught group theory, ring theory and fields, Vector spaces model, topology, algebraic topology, group
Ohio University College of Arts and Sciences (884 words) [view diff] case mismatch in snippet view article find links to article
Institute The Center for Intelligent Chemical Instrumentation The Center for Ring Theory and Its Applications The Charles J. Ping Institute for the Teaching of
Oring (119 words) [view diff] exact match in snippet view article find links to article
logic, electronics, or computer science Ring of O, the BDSM jewelry O-Ring theory of economic development O-Ring failure as a cause of the Space Shuttle
Divisor (disambiguation) (77 words) [view diff] exact match in snippet view article
(number theory), an integer that divides evenly another integer Divisor (ring theory), a generalization of the preceding concept Divisor (algebraic geometry)
Epimorphism (2,355 words) [view diff] exact match in snippet view article find links to article
\varepsilon } ). There is also the notion of homological epimorphism in ring theory. A morphism f: A → B of rings is a homological epimorphism if it is an
Toida's conjecture (383 words) [view diff] exact match in snippet view article find links to article
and R. Poschel: The isomorphism problem for circulant graphs via Schur ring theory, Codes and Association Schemes, American Math. Society, 2001. Dobson
Macsyma (2,534 words) [view diff] exact match in snippet view article find links to article
Spear, David (July 1977). "A constructive approach to commutative ring theory". Proceedings of the 1977 MACSYMA Users' Conference. Mora, Teo (2005)
Preadditive category (1,652 words) [view diff] exact match in snippet view article find links to article
categories can be seen as a generalisation of rings. Many concepts from ring theory, such as ideals, Jacobson radicals, and factor rings can be generalized
Circulant graph (1,310 words) [view diff] exact match in snippet view article find links to article
Reinhard (2001), "The isomorphism problem for circulant graphs via Schur ring theory", Codes and association schemes (Piscataway, NJ, 1999), DIMACS Ser. Discrete
Combinatorial commutative algebra (564 words) [view diff] case mismatch in snippet view article find links to article
(1977). "Cohen–Macaulay rings, combinatorics, and simplicial complexes". Ring Theory II: Proceedings of the Second Oklahoma Conference. Lecture Notes in Pure
Noether Lecture (438 words) [view diff] case mismatch in snippet view article find links to article
congruence and noncongruence 2016 Karen E. Smith The Power of Noether's Ring Theory in Understanding Singularities of Complex Algebraic Varieties 2017 Lisa
Eilenberg–Mazur swindle (1,099 words) [view diff] case mismatch in snippet view article find links to article
Elsevier, ISBN 0-444-50492-3 Lam, Tsit-Yuen (2003), Exercises in Classical Ring Theory, New York, NY: Springer, ISBN 978-0-387-00500-3 Lam, Tsit-Yuen (1999)
George Bergman (421 words) [view diff] exact match in snippet view article find links to article
1016/0021-8693(83)90068-6 Bergman, George M. (1978), "The diamond lemma for ring theory", Advances in Mathematics, 29 (2): 178–218, doi:10.1016/0001-8708(78)90010-5
Finitely generated module (2,878 words) [view diff] exact match in snippet view article find links to article
Addison-Wesley, ISBN 978-0-201-55540-0 Matsumura, Hideyuki (1989), Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Translated from the
Nilradical of a Lie algebra (299 words) [view diff] exact match in snippet view article find links to article
is semisimple). Levi decomposition Nilradical of a ring, a notion in ring theory. Fulton, William; Harris, Joe (1991). Representation theory. A first
Benzene (9,585 words) [view diff] exact match in snippet view article find links to article
Wilcox, David H.; Greenbaum, Frederick R. (1965). "Kekule's benzene ring theory: A subject for lighthearted banter". Journal of Chemical Education. 42
Germ (mathematics) (2,684 words) [view diff] exact match in snippet view article
in m, whence the conclusion. This is related to the setup of almost ring theory. Analytic variety Catastrophe theory Gluing axiom Riemann surface Sheaf
U-invariant (730 words) [view diff] exact match in snippet view article find links to article
484 Lam, T.Y. (1989). "Fields of u-invariant 6 after A. Merkurjev". Ring theory 1989. In honor of S. A. Amitsur, Proc. Symp. and Workshop, Jerusalem
Smooth algebra (511 words) [view diff] case mismatch in snippet view article find links to article
215 Matsumura 1989, Theorem 28.7 Matsumura, H. (1989). Commutative Ring Theory. Cambridge Studies in Advanced Mathematics. Translated by Reid, M. Cambridge
Nolan Wallach (1,055 words) [view diff] exact match in snippet view article find links to article
number theory, quantum information theory, Riemannian geometry, and ring theory. with Michel Cahen: Lorentzian symmetric spaces, Bull. Amer. Math. Soc
Ohio University (9,699 words) [view diff] case mismatch in snippet view article find links to article
Cartographic Center, the Institute for Quantitative Biology, and the Center for Ring Theory and Its Applications. The Center for International Studies was established
Koszul algebra (383 words) [view diff] exact match in snippet view article find links to article
ring Fröberg, R. (1999), "Koszul algebras", Advances in commutative ring theory (Fez, 1997), Lecture Notes in Pure and Applied Mathematics, vol. 205
Glossary of Lie groups and Lie algebras (3,110 words) [view diff] exact match in snippet view article find links to article
[{\mathfrak {g'}},{\mathfrak {g}}]\subseteq {\mathfrak {g'}}.} Unlike in ring theory, there is no distinguishability of left ideal and right ideal. index
Geometric logic (596 words) [view diff] exact match in snippet view article find links to article
coherent/geometric theories: all algebraic theories, such as group theory and ring theory, all essentially algebraic theories, such as category theory, the theory
Walter Borho (444 words) [view diff] exact match in snippet view article find links to article
primitive ideals, and characteristic classes: A geometric perspective in ring theory. Progress in Mathematics. Vol. 78. Birkhäuser. doi:10.1007/978-1-4612-4558-2
Preradical (134 words) [view diff] case mismatch in snippet view article find links to article
lattice. Stenstrom, Bo Rings of Quotients: An Introduction To Methods Of Ring Theory – Chapter 6, Springer, ISBN 0387071172 Bican, L., Kepka, T. and Nemec
Intersection theorem (481 words) [view diff] case mismatch in snippet view article find links to article
a + a = 0. Rowen, Louis Halle, ed. (1980). Polynomial Identities in Ring Theory. Pure and Applied Mathematics. Vol. 84. Academic Press. doi:10
Teo Mora (1,432 words) [view diff] exact match in snippet view article find links to article
ISBN 88-347-0897-0. Reprinted 2001. George M Bergman (1978). "The diamond lemma for ring theory". Advances in Mathematics. 29 (2): 178–218. doi:10.1016/0001-8708(78)90010-5
Emil Artin (6,171 words) [view diff] exact match in snippet view article find links to article
expositor of Galois theory, and of the group cohomology approach to class ring theory (with John Tate), to mention two theories where his formulations became
Hochster–Roberts theorem (280 words) [view diff] exact match in snippet view article find links to article
Theorem in ring theory
Chern class (7,508 words) [view diff] exact match in snippet view article find links to article
elementary symmetric polynomials in ti's. Either by splitting principle or by ring theory, any Chern polynomial c t ( E ) {\displaystyle c_{t}(E)} factorizes into
List of University of Chicago faculty (4,756 words) [view diff] exact match in snippet view article find links to article
mathematical expositor Israel Herstein – worked in algebra, including ring theory Lars Hörmander – Fields Medal winner Irving Kaplansky – President of
Character module (922 words) [view diff] exact match in snippet view article find links to article
Switzerland: Birkhäuser. ISBN 9783034809528. Behrens, Ernst-August. (1972). Ring theory. New York: Academic Press. ISBN 9780080873572. OCLC 316568566.
Springer correspondence (847 words) [view diff] exact match in snippet view article find links to article
primitive ideals, and characteristic classes. A geometric perspective in ring theory. Progress in Mathematics. Vol. 78. Birkhäuser Boston, Inc., Boston, MA
Industrial web theory (2,197 words) [view diff] case mismatch in snippet view article find links to article
the 1980s by Colonel John A. Warden III who developed his Strategic Ring Theory, a concept of aerial attack in which a number of enemy nodes are attacked
LibreOffice (10,065 words) [view diff] exact match in snippet view article find links to article
Areafill backgrounds New RYB Standard palette, based on Itten RYB color ring theory providing Red, Yellow, Blue primaries New set of default gradients New
Grothendieck category (2,491 words) [view diff] case mismatch in snippet view article find links to article
Stenström, Bo T. (1975). Rings of Quotients: An Introduction to Methods of Ring Theory. Springer-Verlag. ISBN 978-0-387-07117-6. Abelian Categories, notes by
The City (Park and Burgess book) (915 words) [view diff] exact match in snippet view article
Park and Burgess created one of the earliest city models – Concentric ring theory first introduced in The City. Chicago and New York were typical examples
Kähler differential (4,377 words) [view diff] exact match in snippet view article find links to article
ISBN 978-0-387-90244-9, MR 0463157 Matsumura, Hideyuki (1986), Commutative ring theory, Cambridge University Press Neukirch, Jürgen (1999), Algebraische Zahlentheorie
Special classes of semigroups (428 words) [view diff] exact match in snippet view article find links to article
India, 1986 [Kela] A. V. Kelarev, Applications of epigroups to graded ring theory, Semigroup Forum, Volume 50, Number 1 (1995), 327-350 doi:10.1007/BF02573530
Institute of Mathematics, UFRJ (278 words) [view diff] exact match in snippet view article find links to article
partial differential equations Mathematical physics Differential geometry Ring theory and group theory System dynamics Geometric theory of foliations Algebraic
Wallace Smith Martindale (848 words) [view diff] case mismatch in snippet view article find links to article
maint: numeric names: authors list (link) Rowen, Louis H. (June 1988). Ring Theory, Volume I. p. 345. ISBN 9780080874463. Kostrikin, A. I.; Shafarevich
Gene Abrams (972 words) [view diff] case mismatch in snippet view article find links to article
(1981) Scientific career Fields Mathematics, Algebra, Noncommutative Ring Theory, Morita Equivalence, Leavitt Path Algebras Institutions University of
Hideyuki Matsumura (92 words) [view diff] case mismatch in snippet view article find links to article
mathematician Yasuo Akizuki. Matsumura, Hideyuki (1987). Commutative Ring Theory. Cambridge: Cambridge University Press. ISBN 9781139171762. Matsumura