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

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 Mathematic...

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Autores principales: Zheng, Shanghua, Guo, Li, Rosenkranz, Markus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2019
Materias:
Original Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7083595/
https://www.ncbi.nlm.nih.gov/pubmed/32256224
http://dx.doi.org/10.1080/00927872.2018.1552278
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author Zheng, Shanghua
Guo, Li
Rosenkranz, Markus
author_facet Zheng, Shanghua
Guo, Li
Rosenkranz, Markus
author_sort Zheng, Shanghua
collection PubMed
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.
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spelling pubmed-70835952020-03-30 Classification of Rota-Baxter operators on semigroup algebras of order two and three Zheng, Shanghua Guo, Li Rosenkranz, Markus Commun Algebra Original Articles 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. Taylor & Francis 2019-03-04 /pmc/articles/PMC7083595/ /pubmed/32256224 http://dx.doi.org/10.1080/00927872.2018.1552278 Text en © 2019 The Author(s). Published with license by Taylor and Francis Group, LLC http://creativecommons.org/licenses/by/4.0/ This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Original Articles
Zheng, Shanghua
Guo, Li
Rosenkranz, Markus
Classification of Rota-Baxter operators on semigroup algebras of order two and three
title Classification of Rota-Baxter operators on semigroup algebras of order two and three
title_full Classification of Rota-Baxter operators on semigroup algebras of order two and three
title_fullStr Classification of Rota-Baxter operators on semigroup algebras of order two and three
title_full_unstemmed Classification of Rota-Baxter operators on semigroup algebras of order two and three
title_short Classification of Rota-Baxter operators on semigroup algebras of order two and three
title_sort classification of rota-baxter operators on semigroup algebras of order two and three
topic Original Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7083595/
https://www.ncbi.nlm.nih.gov/pubmed/32256224
http://dx.doi.org/10.1080/00927872.2018.1552278
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AT guoli classificationofrotabaxteroperatorsonsemigroupalgebrasofordertwoandthree
AT rosenkranzmarkus classificationofrotabaxteroperatorsonsemigroupalgebrasofordertwoandthree

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