Cohomologically trivial internal categories in categories of groups with operations

DOI10.1007/BF00878442zbMath0844.18004MaRDI QIDQ1899873

Tamar Datuashvili

Publication date: 19 August 1996

Published in: Applied Categorical Structures (Search for Journal in Brave)

zbMATH Keywords

cohomology of categoriescrossed moduledifferentialsinternal categoriesabelianization functor

Mathematics Subject Classification ID

Category of groups (20J15) Homological algebra in category theory, derived categories and functors (18G99) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

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Cites Work

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• Another denormalization theorem for abelian chain complexes
• Extensions and obstructions for rings
• The tower of n-groupoids and the long cohomology sequence
• Formal moduli of algebraic structures
• Obstruction theory in algebraic categories. I
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
• Extensions, crossed modules and internal categories in categories of groups with operations
• Homological Algebra in Topoi
• Simplicial methods and the interpretation of “triple” cohomology
• Cohomology as the Derived Functor of Derivations
• Combinatorial homotopy. II

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