Deformations and Cohomology Theory of Rota-Baxter Systems
Rings and Algebras
2022-07-15 v1
Abstract
Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory of Rota-Baxter systems and justify it by interpreting the lower degree cohomology groups as formal deformations and as abelian extensions of Rota-Baxter systems. A further study on an -algebra structure associated to this cohomology theory will be given in a subsequent paper.
Keywords
Cite
@article{arxiv.2207.06859,
title = {Deformations and Cohomology Theory of Rota-Baxter Systems},
author = {Yuming Liu and Kai Wang and Liwen Yin},
journal= {arXiv preprint arXiv:2207.06859},
year = {2022}
}
Comments
26 pages. arXiv admin note: substantial text overlap with arXiv:2108.06744