Zheng S, Guo L, Rosenkranz M. Classification of Rota-Baxter operators on semigroup algebras of order two and three.
Commun Algebra 2019;
47:3094-3116. [PMID:
32256224 PMCID:
PMC7083595 DOI:
10.1080/00927872.2018.1552278]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/13/2014] [Accepted: 10/19/2018] [Indexed: 06/11/2023]
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.
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