Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras
In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras, and matching pre-Lie algebras. Moreover, we study the properties and relationships between categories of these matching Hom-algebraic structures.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/9792726 |
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| _version_ | 1832560303997452288 |
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| author | Dan Chen Xiao-Song Peng Chia Zargeh Yi Zhang |
| author_facet | Dan Chen Xiao-Song Peng Chia Zargeh Yi Zhang |
| author_sort | Dan Chen |
| collection | DOAJ |
| description | In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras, and matching pre-Lie algebras. Moreover, we study the properties and relationships between categories of these matching Hom-algebraic structures. |
| format | Article |
| id | doaj-art-2d7943adf9bf44818c1db9f5909a401e |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2d7943adf9bf44818c1db9f5909a401e2025-02-03T01:27:57ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/97927269792726Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie AlgebrasDan Chen0Xiao-Song Peng1Chia Zargeh2Yi Zhang3School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaInstituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, SP, BrazilSchool of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaIn this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras, and matching pre-Lie algebras. Moreover, we study the properties and relationships between categories of these matching Hom-algebraic structures.http://dx.doi.org/10.1155/2020/9792726 |
| spellingShingle | Dan Chen Xiao-Song Peng Chia Zargeh Yi Zhang Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras Advances in Mathematical Physics |
| title | Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras |
| title_full | Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras |
| title_fullStr | Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras |
| title_full_unstemmed | Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras |
| title_short | Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras |
| title_sort | matching hom setting of rota baxter algebras dendriform algebras and pre lie algebras |
| url | http://dx.doi.org/10.1155/2020/9792726 |
| work_keys_str_mv | AT danchen matchinghomsettingofrotabaxteralgebrasdendriformalgebrasandpreliealgebras AT xiaosongpeng matchinghomsettingofrotabaxteralgebrasdendriformalgebrasandpreliealgebras AT chiazargeh matchinghomsettingofrotabaxteralgebrasdendriformalgebrasandpreliealgebras AT yizhang matchinghomsettingofrotabaxteralgebrasdendriformalgebrasandpreliealgebras |