Noncommutative differential calculus on (co)homology of hom-associative algebras

DOI10.1080/00927872.2020.1867737zbMath1490.17043arXiv2009.12266OpenAlexW3118773345MaRDI QIDQ5858467

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Publication date: 13 April 2021

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

Full work available at URL: https://arxiv.org/abs/2009.12266

zbMATH Keywords

BV algebraHochschild (co)homologynoncommutative differential calculuscyclic comp modulehom-associative algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Nonassociative algebras satisfying other identities (17A30) (non-Lie) Hom algebras and topics (17D30)

Cites Work

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• Cyclic homology for Hom-associative algebras
• The Batalin-Vilkovisky algebra on Hochschild cohomology induced by infinity inner products.
• Homotopy \(G\)-algebra structure on the cochain complex of Hom-type algebras
• Gerstenhaber algebra structure on the cohomology of a hom-associative algebra
• Hom-associative algebras up to homotopy
• Deformations of Lie algebras using \(\sigma\)-derivations
• The cohomology structure of an associative ring
• Hom-algebra structures
• Gerstenhaber and Batalin-Vilkovisky Structures on Modules over Operads
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras

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