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Longer titles found: List of homological algebra topics (view), Mapping cone (homological algebra) (view), Monad (homological algebra) (view)

searching for Homological algebra 76 found (375 total)

alternate case: homological algebra

Beno Eckmann (318 words) [view diff] exact match in snippet view article find links to article

Swiss mathematician who made contributions to algebraic topology, homological algebra, group theory, and differential geometry. Born to a Jewish family
Cotriple homology (332 words) [view diff] exact match in snippet view article find links to article
the n-th K-group of R. This example is an instance of nonabelian homological algebra. Swan, Richard G. (1972). "Some relations between higher K-functors"
Homotopy fiber (1,853 words) [view diff] exact match in snippet view article find links to article
Moreover, the homotopy fiber can be found in other contexts, such as homological algebra, where the distinguished triangle C ( f ) ∙ [ − 1 ] → A ∙ → B ∙ →
Mikhail Kapranov (767 words) [view diff] exact match in snippet view article find links to article
1848 note on the resultant, Cayley ... laid out the foundations of homological algebra. The place of discriminants in the general theory of hypergeometric
Generalized space (472 words) [view diff] exact match in snippet view article find links to article
functional analysis) tend not to be abelian, a standard requirement to do homological algebra. Alexander Grothendieck's dictum says a topos is a generalized space;
Conservative functor (131 words) [view diff] case mismatch in snippet view article find links to article
ISBN 048680903X. Retrieved 18 February 2017. Grandis, Marco (2013). Homological Algebra: In Strongly Non-Abelian Settings. World Scientific. ISBN 9814425931
Hereditary ring (684 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-0-387-98428-5, MR 1653294, Zbl 0911.16001 Osborne, M. Scott (2000), Basic Homological Algebra, Graduate Texts in Mathematics, vol. 196, Springer-Verlag, ISBN 0-387-98934-X
Glossary of algebraic topology (7,621 words) [view diff] exact match in snippet view article find links to article
there is no glossary of homological algebra in Wikipedia right now, this glossary also includes a few concepts in homological algebra (e.g., chain homotopy);
Groupoid (6,232 words) [view diff] no match in snippet view article find links to article
In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group
Operad algebra (203 words) [view diff] exact match in snippet view article find links to article
{\mathcal {E}}_{n}} -Rings" (PDF). Hinich, Vladimir (1997-02-11). "Homological algebra of homotopy algebras". arXiv:q-alg/9702015. "operad", ncatlab.org
Inverse limit (2,275 words) [view diff] exact match in snippet view article find links to article
MR 0294454 Neeman, Amnon (2002), "A counterexample to a 1961 "theorem" in homological algebra (with appendix by Pierre Deligne)", Inventiones Mathematicae, 148
Separable algebra (1,777 words) [view diff] exact match in snippet view article find links to article
S-modules, is split as R-modules. In terms of G. Hochschild's relative homological algebra, one says that all R-modules are relative (R, S)-projective. Usually
Yuri Manin (1,553 words) [view diff] exact match in snippet view article find links to article
Homological algebra. Encyclopedia of Mathematical Sciences. Springer. Manin, Yuri; Gelfand, Sergei Gelfand (1996). Methods of Homological algebra. Springer
Douglas Northcott (715 words) [view diff] exact match in snippet view article find links to article
Cambridge, 1984. ISBN 0-521-26269-0 Northcott, D. G. A first course of homological algebra. Reprint of 1973 edition. Cambridge University Press, Cambridge-New
Novikov–Shubin invariant (316 words) [view diff] exact match in snippet view article find links to article
ISSN 0042-1316, MR 1134099 Farber, Michael S. (1996), "Homological algebra of Novikov–Shubin invariants and Morse inequalities", Geometric and
Mitchell's embedding theorem (655 words) [view diff] exact match in snippet view article find links to article
2307/2373027. JSTOR 2373027. Charles A. Weibel (1993). An introduction to homological algebra. Cambridge Studies in Advanced Mathematics. doi:10.1017/CBO9781139644136
Peter Hilton (2,387 words) [view diff] exact match in snippet view article find links to article
-polyhedra". His principal research interests were in algebraic topology, homological algebra, categorical algebra and mathematics education. He published 15 books
Simplicial group (280 words) [view diff] exact match in snippet view article find links to article
Birkhäuser. ISBN 978-3-7643-6064-1. Charles Weibel, An introduction to homological algebra simplicial group at the nLab What is a simplicial commutative ring
Cyclic category (354 words) [view diff] exact match in snippet view article find links to article
May 2011 Kostrikin, A. I.; Shafarevich, I. R. (1994), Algebra V: Homological algebra, Encyclopaedia of Mathematical Sciences, vol. 38, Springer, pp. 60–61
Matrix factorization of a polynomial (196 words) [view diff] exact match in snippet view article find links to article
}{cc}1&0\\0&1\end{array}}\right]} Eisenbud, David (1980-01-01). "Homological algebra on a complete intersection, with an application to group representations"
Tower of objects (228 words) [view diff] case mismatch in snippet view article find links to article
modules. Section 3.5 of Weibel, Charles A. (1994), An Introduction to Homological Algebra, Cambridge Studies in Advanced Mathematics, vol. 38, Cambridge University
Differential graded module (237 words) [view diff] exact match in snippet view article find links to article
1007/s00222-007-0041-6. S2CID 16078533. Henri Cartan, Samuel Eilenberg, Homological algebra Fresse, Benoit (21 April 2017). Homotopy of Operads and Grothendieck-Teichmuller
Polynomial differential form (190 words) [view diff] exact match in snippet view article find links to article
of the A. M. S., vol. 179, 1976. Hinich, Vladimir (1997-02-11). "Homological algebra of homotopy algebras". arXiv:q-alg/9702015. https://ncatlab
Eilenberg–Steenrod axioms (750 words) [view diff] exact match in snippet view article find links to article
dual to them. Zig-zag lemma Weibel, Charles A. (1999). "History of homological algebra". In James, I. M. (ed.). History of Topology. Amsterdam: Elsevier
Fukaya category (795 words) [view diff] exact match in snippet view article find links to article
Floer homologies, MSRI preprint No. 020-94 (1993) Kontsevich, Maxim, Homological algebra of mirror symmetry, Proceedings of the International Congress of
Derived tensor product (449 words) [view diff] exact match in snippet view article find links to article
scheme-theoretic intersection.) Hinich, Vladimir (1997-02-11). "Homological algebra of homotopy algebras". arXiv:q-alg/9702015. Lurie, J., Spectral Algebraic
Graduate Texts in Mathematics (5,035 words) [view diff] case mismatch in snippet view article find links to article
M. P. Wolff (1999, 2nd ed., ISBN 978-0-387-98726-2) A Course in Homological Algebra, Peter Hilton, Urs Stammbach (1997, 2nd ed., ISBN 978-0-387-94823-2)
Homological mirror symmetry (1,027 words) [view diff] exact match in snippet view article find links to article
1016/0550-3213(91)90292-6. MR 1115626. Kontsevich, Maxim (1994). "Homological algebra of mirror symmetry". arXiv:alg-geom/9411018. Kontsevich, Maxim; Soibelman
Conglomerate (mathematics) (855 words) [view diff] case mismatch in snippet view article
Heldermann Verlag. pp. 9–12. Osborne, M. Scott (2012-12-06). Basic Homological Algebra. Springer Science & Business Media. pp. 151–153. ISBN 9781461212782
André–Quillen cohomology (556 words) [view diff] exact match in snippet view article find links to article
Mathematical Society Weibel, Charles A. (1994), An introduction to homological algebra, Cambridge Studies in Advanced Mathematics, vol. 38, Cambridge University
G-module (973 words) [view diff] exact match in snippet view article find links to article
Chapter 6 of Weibel, Charles A. (1994). An introduction to homological algebra. Cambridge Studies in Advanced Mathematics. Vol. 38. Cambridge University
Math in Moscow (944 words) [view diff] case mismatch in snippet view article find links to article
Equations of Mathematical Physics Introduction to Commutative and Homological Algebra Mathematical Catastrophe Theory Riemann Surfaces In addition to the
David B. A. Epstein (957 words) [view diff] exact match in snippet view article find links to article
Mathematics (2) 76 1962 180–184. D.B.A. Epstein, Steenrod operations in homological algebra. Inventiones Mathematicae 1 1966 152–208. D.B.A. Epstein, Periodic
Claus Michael Ringel (630 words) [view diff] case mismatch in snippet view article find links to article
Diagonalisierungspaare in der Homologischen Algebra (Diagonalization Pairs in Homological Algebra). He then became a research assistant at the University of Tübingen
Divisible group (1,422 words) [view diff] exact match in snippet view article find links to article
2003. Lam 1999, p.70—73. Cartan, Henri; Eilenberg, Samuel (1999), Homological algebra, Princeton Landmarks in Mathematics, Princeton, NJ: Princeton University
Pointed set (1,061 words) [view diff] case mismatch in snippet view article find links to article
ISBN 3-540-18190-3, Zbl 0733.05023 Joseph Rotman (2008). An Introduction to Homological Algebra (2nd ed.). Springer Science & Business Media. ISBN 978-0-387-68324-9
Alexander A. Voronov (571 words) [view diff] exact match in snippet view article find links to article
1007/BF01218264. S2CID 120761645. Voronov, A. A. (1993). "Semi-infinite homological algebra". Invent. Math. 113 (1): 103–146. Bibcode:1993InMat.113..103V. doi:10
Thomas Jones Enright (733 words) [view diff] exact match in snippet view article find links to article
ISBN 9780817631352. Enright, T. J.; Wallach, N. R. (1980). "Notes on homological algebra and representations of Lie algebras". Duke Mathematical Journal.
Five-term exact sequence (930 words) [view diff] exact match in snippet view article find links to article
MR 1737196, Zbl 0948.11001 Weibel, Charles A. (1994). An introduction to homological algebra. Cambridge Studies in Advanced Mathematics. Vol. 38. Cambridge University
Riffle shuffle permutation (1,001 words) [view diff] case mismatch in snippet view article find links to article
JSTOR 2323590, MR 0841111 Weibel, Charles (1994). An Introduction to Homological Algebra, p. 181. Cambridge University Press, Cambridge. Atkinson, M. D. (1999)
Nicolae Popescu (1,014 words) [view diff] exact match in snippet view article find links to article
He first approached the general theory, with its connections to homological algebra and algebraic topology, then shifted his focus on theory of Abelian
Preadditive category (1,652 words) [view diff] exact match in snippet view article find links to article
Applications to Rings and Modules; Academic Press, Inc.; out of print Charles Weibel; 1994; An introduction to homological algebra; Cambridge Univ. Press
Poincaré–Birkhoff–Witt theorem (1,934 words) [view diff] case mismatch in snippet view article find links to article
1007/BF01206702. S2CID 121470841. Cartan, Henri; Eilenberg, Samuel (1956). Homological Algebra. Princeton Mathematical Series (PMS). Vol. 19. Princeton University
Mapping cylinder (1,229 words) [view diff] exact match in snippet view article find links to article
)}/((0,x_{i})\sim (1,f_{i}(x_{i}))).} Cofibration Mapping cylinder (homological algebra) Homotopy colimit Mapping path space, which can be viewed as the
Eilenberg–Moore spectral sequence (1,481 words) [view diff] exact match in snippet view article find links to article
comodule. The cobar resolution is a standard technique in differential homological algebra: C ( S ∗ ( X ) , S ∗ ( B ) ) = ⋯ ← δ 2 C − 2 ( S ∗ ( X ) , S ∗ (
Derived algebraic geometry (1,810 words) [view diff] exact match in snippet view article find links to article
algebraic geometry is fundamentally the study of geometric objects using homological algebra and homotopy. Since objects in this field should encode the homological
Mordell–Weil group (1,164 words) [view diff] exact match in snippet view article find links to article
r=\operatorname {rank} (E(\mathbb {Q} ))} using some long exact sequences from homological algebra and the Kummer map. There are many theorems in the literature about
Indian Institute of Science Education and Research, Thiruvananthapuram (1,429 words) [view diff] exact match in snippet view article find links to article
Number Theory Group theory Linear algebra, Commutative algebra and Homological algebra Ramsey theory School of Physics Condensed matter physics High-energy
Sze-Tsen Hu (489 words) [view diff] case mismatch in snippet view article find links to article
doi:10.1090/s0002-9904-1956-10038-4. MR 0080304. Introduction to Homological Algebra. San Francisco: Holden Day. 1968. Homotopy theory. Academic Press
Exact couple (1,658 words) [view diff] exact match in snippet view article find links to article
2307/1969805, MR 0052770. Weibel, Charles A. (1994), An introduction to homological algebra, Cambridge Studies in Advanced Mathematics, vol. 38, Cambridge: Cambridge
Diagonal morphism (798 words) [view diff] exact match in snippet view article find links to article
arXiv:1910.05172. Herscovich, Estanislao (2020). "Lectures on basic homological algebra" (PDF). Laurent, Olivier (2013). "Categories for Me [note]" (PDF)
Partial function (2,055 words) [view diff] case mismatch in snippet view article find links to article
University Press. p. 289. ISBN 978-0-521-44179-7. Marco Grandis (2012). Homological Algebra: The Interplay of Homology with Distributive Lattices and Orthodox
Differential (mathematics) (3,906 words) [view diff] exact match in snippet view article
of a connection. The term differential has also been adopted in homological algebra and algebraic topology, because of the role the exterior derivative
Quaternion group (3,716 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-0-387-90688-1 Cartan, Henri; Eilenberg, Samuel (1999), Homological Algebra, Princeton University Press, ISBN 978-0-691-04991-5 Coxeter, H. S
Simplicial set (3,384 words) [view diff] case mismatch in snippet view article find links to article
MR 1711612. Gelfand, Sergei I.; Manin, Yuri I. (2013). Methods of Homological Algebra. Springer. ISBN 978-3-662-12492-5. Allegretti, Dylan G.L. "Simplicial
Leroy P. Steele Prize (2,239 words) [view diff] exact match in snippet view article find links to article
Berlin, 1977. 1980 Gerhard Hochschild for his significant work in homological algebra and its applications. 1979 Antoni Zygmund for his cumulative influence
Inverse semigroup (3,739 words) [view diff] case mismatch in snippet view article find links to article
6 Howie 1995, p. 222 Fountain 1979, Gould Grandis, Marco (2012). Homological Algebra: The Interplay of Homology with Distributive Lattices and Orthodox
List of conjectures (1,577 words) [view diff] exact match in snippet view article find links to article
48 Neeman, Amnon (2002). "A counterexample to a 1961 "theorem" in homological algebra". Inventiones Mathematicae. 148 (2): 397–420. Bibcode:2002InMat.148
Mirror symmetry (string theory) (5,376 words) [view diff] case mismatch in snippet view article
ISBN 978-1-4612-8714-8, S2CID 16131978 Kontsevich, Maxim (1995b). "Homological Algebra of Mirror Symmetry". Proceedings of the International Congress of
Éléments de mathématique (3,086 words) [view diff] case mismatch in snippet view article find links to article
and Quadratic Forms Algèbre: Chapitre 10 10 Algèbre homologique 10 Homological Algebra Topologie générale Topologie générale: Chapitres 1 à 4 1 Structures
Lie algebra representation (4,312 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathfrak {g}}} turns out to be too large especially for homological algebra methods to be useful: it was realized that a smaller subcategory
Topological data analysis (10,980 words) [view diff] exact match in snippet view article find links to article
over a polynomial ring in n variables. Tools from commutative and homological algebra are applied to the study of multidimensional persistence in work
Named set theory (1,919 words) [view diff] exact match in snippet view article find links to article
Structures of Multicardinal Numbers, in Problems of group theory and homological algebra, Yaroslavl, pp. 3–20 Burgin, M. (1995) Named Sets as a Basic Tool
Vector space (11,491 words) [view diff] exact match in snippet view article find links to article
retrieved 2017-10-25 Weibel, Charles A. (1994). An introduction to homological algebra. Cambridge Studies in Advanced Mathematics. Vol. 38. Cambridge University
Polynomial ring (8,697 words) [view diff] exact match in snippet view article find links to article
ISBN 978-0-387-95385-4, MR 1878556 Osborne, M. Scott (2000), Basic homological algebra, Graduate Texts in Mathematics, vol. 196, Springer-Verlag, doi:10
Presheaf with transfers (2,676 words) [view diff] exact match in snippet view article find links to article
section are abelian categories, hence they are suitable for doing homological algebra. These are defined as presheaves with transfers such that the restriction
Free abelian group (6,773 words) [view diff] case mismatch in snippet view article find links to article
ISBN 9780521795401 Vermani, L. R. (2004), An Elementary Approach to Homological Algebra, Monographs and Surveys in Pure and Applied Mathematics, CRC Press
String theory (15,290 words) [view diff] case mismatch in snippet view article find links to article
Society. p. 13. ISBN 978-0-8218-3848-8. Kontsevich, Maxim (1995). "Homological Algebra of Mirror Symmetry". Proceedings of the International Congress of
List of incomplete proofs (4,390 words) [view diff] exact match in snippet view article find links to article
Neeman, Amnon (2002). "A counterexample to a 1961 "theorem" in homological algebra". Inventiones Mathematicae. 148 (2): 397–420. Bibcode:2002InMat.148
Differential algebra (7,852 words) [view diff] exact match in snippet view article find links to article
closed field Differential graded algebra – Algebraic structure in homological algebra D-module – Module over a sheaf of differential operators Hardy field –
Algebraic K-theory (10,647 words) [view diff] exact match in snippet view article find links to article
Gauthier-Villars, Paris, 1962, pp. 113–127. (French) Swan, Richard, Nonabelian homological algebra and K-theory, Proc. Sympos. Pure Math., vol. XVII, 1970, pp. 88–123
List of women in mathematics (23,258 words) [view diff] exact match in snippet view article find links to article
(born 1948), German researcher in modular representation theory and homological algebra Viveka Erlandsson, Swedish low-dimensional topologist and geometer
Glossary of algebraic geometry (12,496 words) [view diff] case mismatch in snippet view article find links to article
K-theory over F1". arXiv:math/0605429. Flores, Jaret (2015-03-08). "Homological Algebra for Commutative Monoids". arXiv:1503.02309 [math.KT]. Durov, Nikolai
Timeline of manifolds (1,178 words) [view diff] exact match in snippet view article find links to article
dimension 2n. 1941 Witold Hurewicz First fundamental theorem of homological algebra: Given a short exact sequence of spaces there exist a connecting
Dimension theory (algebra) (6,961 words) [view diff] case mismatch in snippet view article
(in French), vol. 11, Berlin, New York: Springer-Verlag Weibel, Charles A. (1995). An Introduction to Homological Algebra. Cambridge University Press.
List of University of Michigan alumni (24,101 words) [view diff] exact match in snippet view article find links to article
mathematician working on algebraic K-theory, algebraic geometry and homological algebra A number of Michigan graduates or fellows were involved with the