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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 77 found (374 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

Jeremy Rickard (294 words) [view diff] exact match in snippet view article find links to article

algebraic topology, representation theory of finite algebras and homological algebra. Rickard or derived equivalences as a generalization of Morita equivalences

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;

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

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

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 (6,211 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 (1,548 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

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

Matrix factorization of a polynomial (195 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"

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

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

Simplicial group (246 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

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

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

Complete set of invariants (352 words) [view diff] exact match in snippet view article find links to article

point set topological spaces", Abelian groups, rings, modules, and homological algebra, Lect. Notes Pure Appl. Math., vol. 249, Chapman & Hall/CRC, Boca

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

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 (5,021 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)

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

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

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

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

David B. A. Epstein (951 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

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

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

Thomas Jones Enright (732 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.

Alexander A. Voronov (563 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

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

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)

Preadditive category (1,667 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

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 ∗ (

Poincaré–Birkhoff–Witt theorem (1,922 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

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

Sze-Tsen Hu (483 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

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

Exact couple (1,657 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 (3,724 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 (3,339 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 (3,748 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 (1,566 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: 397–420. doi:10.1007/s002220100197

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

Mirror symmetry (string theory) (5,362 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

Topological data analysis (10,881 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

List of incomplete proofs (4,299 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

Free abelian group (6,774 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

Polynomial ring (8,212 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

String theory (15,260 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

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 operatorsPages displaying

List of women in mathematics (23,030 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

Algebraic K-theory (10,397 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

Glossary of algebraic geometry (12,488 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 (24,046 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