On the cohomology rings of small categories

DOI10.1016/j.jpaa.2008.04.004zbMath1153.18013OpenAlexW1989496019MaRDI QIDQ942214

Fei Xu

Publication date: 4 September 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.04.004

zbMATH Keywords

Grothendieck constructioncohomology ring of a small category with coefficients in a commutative ringEI-categorygroup cohomology theoryLHS spectral sequence

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Cohomology of groups (20J06) Connections of group theory with homological algebra and category theory (20J99) Functor categories, comma categories (18A25) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items

Modular Hecke algebras over Möbius categories, On local categories of finite groups., \(\mathfrak F\)-structures and Bredon-Galois cohomology, LHS-spectral sequences for regular extensions of categories, Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology, Resolutions, relation modules and Schur multipliers for categories, Cohomology of Modules Over -categories and Co--categories, Hochschild and ordinary cohomology rings of small categories, Cohomology for small categories: \(k\)-graphs and groupoids, On Differential Torsion Theories and Rings with Several Objects, Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph

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