Derivations, Cohomology and Deformation of BiHom-Associative Dialgebra
Rings and Algebras
2023-07-06 v1
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 and -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.
Keywords
Cite
@article{arxiv.2307.01496,
title = {Derivations, Cohomology and Deformation of BiHom-Associative Dialgebra},
author = {Ahmed Zahari and Sania Asif},
journal= {arXiv preprint arXiv:2307.01496},
year = {2023}
}