Rota-Baxter type operators on trusses and derived structures
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916709485510656 |
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| author | Chtioui, T. Elhamdadi, M. Mabrouk, S. Makhlouf, A. |
| author_facet | Chtioui, T. Elhamdadi, M. Mabrouk, S. Makhlouf, A. |
| contents | The aim of this paper is to introduce and study the concepts of the Rota-Baxter operator and Reynolds operator within the framework of trusses. Moreover, we introduce and discuss dendriform trusses, tridendriform trusses, and NS-trusses as fundamental algebraic structures underlying these classes of operators. Furthermore, we consider the notions of Nijenhuis operator and averaging operator to trusses, exploring their properties and applications to uncover new algebraic structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rota-Baxter type operators on trusses and derived structures Chtioui, T. Elhamdadi, M. Mabrouk, S. Makhlouf, A. Rings and Algebras Operator Algebras The aim of this paper is to introduce and study the concepts of the Rota-Baxter operator and Reynolds operator within the framework of trusses. Moreover, we introduce and discuss dendriform trusses, tridendriform trusses, and NS-trusses as fundamental algebraic structures underlying these classes of operators. Furthermore, we consider the notions of Nijenhuis operator and averaging operator to trusses, exploring their properties and applications to uncover new algebraic structures. |
| title | Rota-Baxter type operators on trusses and derived structures |
| topic | Rings and Algebras Operator Algebras |
| url | https://arxiv.org/abs/2504.19293 |