Classification of Rota-Baxter operators on semigroup algebras of order two and three

Autor: Guo, Li, Rosenkranz, Markus, Zheng, Shanghua
Rok vydání: 2014
Předmět:
Zdroj: Communications in Algebra, 47 (2019), 3094-3116
Druh dokumentu: Working Paper
Popis: 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.
Comment: 35 pages, 2 figures
Databáze: arXiv