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arXiv · 2210.12501

On deformation cohomology of compatible Hom-associative algebras

Taoufik Chtioui·Ripan Saha
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Abstract

In this paper, we consider compatible Hom-associative algebras as a twisted version of compatible associative algebras. Compatible Hom-associative algebras are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-associative algebras generalizing the classical case. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-associative algebras.

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Taoufik Chtioui, Ripan Saha. 2022-10-22. On deformation cohomology of compatible Hom-associative algebras. https://arxiv.org/abs/2210.12501

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