Third Mac Lane cohomology via categorical rings

DOI10.1017/S030500410700076XzbMath1184.18014arXivmath/0608519MaRDI QIDQ847555

Mamuka Jibladze, Teimouraz Pirashvili, Hans-Joachim Baues

Publication date: 17 February 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society, Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608519

zbMATH Keywords

Hochschild cohomologycategorificationcategorical ringsMac Lane cohomologytopological Hochschild cohomologycrossed extensions

Mathematics Subject Classification ID

Related Items (8)

The DG-category of secondary cohomology operations ⋮ Derived 2-functors in (2-SGp) ⋮ Unnamed Item ⋮ Quadratic algebra of square groups ⋮ Biextensions, bimonoidal functors, multilinear functor calculus, and categorical rings ⋮ Cohomological classification of braided Ann-categories ⋮ Quadratic maps between modules ⋮ Toda Brackets and Cup-One Squares for Ring Spectra

Cites Work

• The cohomology of homotopy categories and the general linear group
• Cohomology of small categories
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• Homotopy theory of \(A_{\infty}\) ring spectra and applications to \(MU\)-modules
• Crossed extensions of algebras and Hochschild cohomology
• A universal coefficient theorem for quadratic functors
• Cohomology of algebraic theories
• On the groups \(H(\Pi,n)\). II
• On the cohomology groups of an associative algebra
• On the topological hochschild homology of z/p^kz
• Polynomial approximation of ext and tor groups in functor categories
• On the 3-Type of a Complex
• MacLane homology and topological Hochschild homology

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