Classification of Rota-Baxter operators on semigroup algebras of order two and three
Rings and Algebras
2020-07-27 v1 Group Theory
Abstract
In this paper we determine all the Rota-Baxter operators of weight zero on semigroup algebras of order two and three with the help of computer algebra. We determine the matrices for these Rota-Baxter operators by directly solving the defining equations of the operators. We also produce a Mathematica procedure to predict and verify these solutions.
Keywords
Cite
@article{arxiv.1402.3702,
title = {Classification of Rota-Baxter operators on semigroup algebras of order two and three},
author = {Li Guo and Markus Rosenkranz and Shanghua Zheng},
journal= {arXiv preprint arXiv:1402.3702},
year = {2020}
}
Comments
35 pages, 2 figures