Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras

DOI10.1080/00927872.2020.1759613zbMath1506.17003arXiv1903.04002OpenAlexW3005875400MaRDI QIDQ5123019

Ripan Saha

Publication date: 25 September 2020

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

Full work available at URL: https://arxiv.org/abs/1903.04002

zbMATH Keywords

cup-productHom-Leibniz algebraHom-Zinbiel algebra

Mathematics Subject Classification ID

Leibniz algebras (17A32) Nonassociative algebras satisfying other identities (17A30) Hom-Lie and related algebras (17B61) (non-Lie) Hom algebras and topics (17D30)

Related Items (4)

Equivariant one-parameter formal deformations of Hom-Leibniz algebras ⋮ On equivariant Hom-Leibniz cohomology ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ On α -type (equivariant) cohomology of Hom-pre-Lie algebras

Cites Work

• (Co)homology and universal central extension of Hom-Leibniz algebras
• A noncommutative version of Lie algebras: Leibniz algebras
• Gerstenhaber algebra structure on the cohomology of a hom-associative algebra
• Deformations of Lie algebras using \(\sigma\)-derivations
• The cohomology structure of an associative ring
• Hom-algebra structures
• CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
• Cup-Product for Equivariant Leibniz Cohomology and Zinbiel Algebras

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