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Classification of Rota-Baxter operators on semigroup algebras of order two and three
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Organization: | Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences |
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arXiv:1402.3702 [math.RA] |
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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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http://lanl.arxiv.org/abs/1402.3702
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