A cohomological study of modified Rota-Baxter algebras
Rings and Algebras
2022-07-07 v1 K-Theory and Homology
Abstract
A modified Rota-Baxter algebra is an algebra equipped with an operator that satisfies the modified Yang-Baxter equation. In this paper, we define the cohomology of a modified Rota-Baxter algebra with coefficients in a suitable bimodule. We relate our cohomology of a modified Rota-Baxter algebra with the known cohomology theory of a Rota-Baxter algebra. As applications of our cohomology, we study formal one-parameter deformations and abelian extensions of modified Rota-Baxter algebras.
Cite
@article{arxiv.2207.02273,
title = {A cohomological study of modified Rota-Baxter algebras},
author = {Apurba Das},
journal= {arXiv preprint arXiv:2207.02273},
year = {2022}
}
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16 pages