Structure and classification of Hom-associative algebras

DOI10.12697/ACUTM.2020.24.06zbMath1482.16077arXiv1906.04969OpenAlexW3088594259MaRDI QIDQ4992889

Abdenacer Makhlouf, Ahmed Zahari

Publication date: 10 June 2021

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04969

zbMATH Keywords

classificationcohomologyirreducible componentHom-associative algebrasimple Hom-associative algebra

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Associative rings and algebras with additional structure (16W99)

Related Items (3)

Current Hom-Lie algebras ⋮ 2-Hom-Associative Bialgebras and Hom-Left Symmetric Dialgebras ⋮ Structure and bimodules of simple Hom-alternative algebras

Cites Work

• Representations of hom-Lie algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Monoidal Hom–Hopf Algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Hom-algebras and homology
• Some remarks about monoidal Hom-algebras
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