Classification of Rota-Baxter operators on semigroup algebras of order two and three |
| |
| Authors: | Shanghua Zheng Li Guo |
| |
| Institution: | 1. Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi, China;2. Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey, USA |
| |
| 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: | Matrix Mathematica Rota-Baxter algebra semigroup semigroup algebra |
|
|
