Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

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

Li Guo
Markus Rosenkranz
Organization: Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences
Shanghua Zheng
Journal / Anthology

arXiv:1402.3702 [math.RA]
Year: 2014
Volume: February
Description

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.
Subjects

*Mathematics
*Mathematics > Algebra
URL

http://lanl.arxiv.org/abs/1402.3702


Translate this page: