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

Classification of Rota-Baxter operators on semigroup algebras of order two and three
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DOI:
10.1080/00927872.2018.1552278
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发表时间:
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期刊:
Communications in Algebra
影响因子:
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通讯作者:
Markus Rosenkranz
Markus Rosenkranz
中科院分区:
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文献类型:
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作者:
郑上华;郭锂;Markus Rosenkranz

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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.