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arXiv · 2307.01496

Derivations, Cohomology and Deformation of BiHom-Associative Dialgebra

Ahmed Zahari·Sania Asif
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Abstract

Due to the immense importance of BiHom Type algebras and cohomology of various algebraic structures, this paper is devoted to defining the BiHom-associative dialgebra, its derivation, generalized derivation, and quasi-derivation. We provided the complete classification of these derivations of $2-$ and $3$-dimensional BiHom-associative dialgebras. We further generalized the cohomology of BiHom-associative algebras to the cohomology of BiHom-associative dialgebras. As an application to cohomology, we evaluate the one-parameter formal deformation of BiHom-associative dialgebras.

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Ahmed Zahari, Sania Asif. 2023-07-04. Derivations, Cohomology and Deformation of BiHom-Associative Dialgebra. https://arxiv.org/abs/2307.01496

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