Cohomologie non abelienne de structures algébriques

DOI10.1016/0021-8693(80)90168-4zbMath0503.18013OpenAlexW2073475900MaRDI QIDQ1173151

J. R. Roisin, Rene Lavendhomme

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90168-4

zbMATH Keywords

crossed modulesinternal categorycategory with finite limitsequational algebraic theoryfirst and second cohomology

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Theories (e.g., algebraic theories), structure, and semantics (18C10)

Related Items (32)

Unnamed Item ⋮ Extensions realising a faithful abstract kernel and their automorphisms ⋮ A projective homotopy theory of crossed \(G\)-modules ⋮ Perfect crossed modules in lie algebras ⋮ Categorical, homological, and homotopical properties of algebraic objects ⋮ Relative commutator theory in varieties of \(\Omega\)-groups ⋮ Some properties of isoclinisms of Lie algebra crossed modules ⋮ Crossed modules of monoids. II: Relative crossed modules ⋮ Semidirect products and crossed modules in monoids with operations ⋮ The algebra of rewriting for presentations of inverse monoids ⋮ The tower of n-groupoids and the long cohomology sequence ⋮ Relative commutator theory in semi-abelian categories ⋮ On stem covers and the universal central extensions of Lie crossed modules ⋮ Unnamed Item ⋮ External derivations of internal groupoids ⋮ Higher Hopf formulae for homology via Galois theory ⋮ A characterisation of Lie algebras amongst anti-commutative algebras ⋮ Capability of Crossed Modules of Lie Algebras ⋮ Galois theory and commutators ⋮ Unnamed Item ⋮ Crossed modules of monoids. I: Relative categories ⋮ Precrossed modules and Galois theory ⋮ A comonadic interpretation of Baues-Ellis homology of crossed modules ⋮ Crossed squares of cocommutative Hopf algebras ⋮ Higher commutator conditions for extensions in Mal'tsev categories ⋮ Schreier split epimorphisms between monoids. ⋮ Unnamed Item ⋮ Central extensions and internal groupoids in Maltsev categories ⋮ Cohomology of crossed Lie algebras and additive Milnor's \(K\)- theory ⋮ A Picard-Brauer exact sequence of categorical groups ⋮ On the categorical structure of \(H^{2}\) ⋮ Almost short exact sequences in non-Abelian cohomology

Cites Work

• Extensions and obstructions for rings
• Homologie des anneaux de Lie
• Cohomologie des algèbres associatives
• On the 3-Type of a Complex
• Homology
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