Homotopy G-algebra structure on the cochain complex of hom-type algebras

2018/08/04 by Apurba Das, Das, Apurba
Mathematics · #16E40 #17A30 #17A99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1808.01464

openalex publication_date 2018/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. We show that the Hochschild type cochain complex of a hom-associative algebra carries a homotopy G-algebra structure. As a consequence, we get a Gerstenhaber algebra structure on the cohomology of a hom-associative algebra. We also find similar results for hom-dialgebras.

Related

• Gerstenhaber algebra structure on the cohomology of a hom-associative\n algebra
• Cohomology of BiHom-associative algebras
• α-type Hochschild cohomology of Hom-associative algebras and Hom-bialgebras
• Hom-associative algebras up to homotopy
• Hom-Groups, Representations and Homological Algebra