A cohomological study of modified Rota-Baxter associative algebras with derivations
Rings and Algebras
2024-06-26 v3
Abstract
This paper presents a cohomological study of modified Rota-Baxter associative algebras in the presence of derivations. The Modified Rota-Baxter operator, which is a modified version and closely related to the classical Rota-Baxter operator, has garnered significant attention due to its applications in various mathematical and physical contexts. In this study, we define a cohomology theory and also investigate a one-parameter formal deformation theory and abelian extensions of modified Rota-Baxter associative algebras under the influence of derivations.
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Cite
@article{arxiv.2404.00627,
title = {A cohomological study of modified Rota-Baxter associative algebras with derivations},
author = {Imed Basdouri and Sami Benabdelhafidh and Mohamed Amin Sadraoui and Ripan Saha},
journal= {arXiv preprint arXiv:2404.00627},
year = {2024}
}
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20 pages