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.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Rota-Baxter algebra
- semigroup algebra