Non-abelian tensor and exterior products of multiplicative Lie rings

DOI10.1515/forum-2015-0096zbMath1366.18013OpenAlexW2509264565MaRDI QIDQ524703

Guram Donadze, Niko Inassaridze, Manuel Ladra Gonzalez

Publication date: 3 May 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2015-0096

zbMATH Keywords

homologynon-abelian tensor productmultiplicative Lie ringsnon-abelian exterior product

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Other nonassociative rings and algebras (17D99)

Related Items (5)

Classification of multiplicative Lie algebra structures on a finite group ⋮ Second cohomology of multiplicative Lie rings and Schreier's extension theory ⋮ Theory of Extensions of Multiplicative Lie Algebras ⋮ A non-abelian exterior product and homology of Leibniz algebras ⋮ Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem

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• Hopf Formulae for the Higher Homology of a Group
• Non-abelian exterior products of groups and exact sequences in the homology of groups
• Free Bases for Normal Subgroups of Free Groups
• A non-abelian tensor product of Lie algebras
• The Second Homology Group of a Group; Relations among Commutators

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