Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras
The aim of this paper is to introduce and to develop several methods for constructions of BiHom-X algebras by extending composition methods, and by using Rota-Baxter operators and some elements of centroids. The bimodules of BiHom-left symmetric dialgebras, BiHom-associative dialgebras and BiHom-tri...
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| Date: | 2023 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2023
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543143319568384 |
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| author | Laraiedh, I. Silvestrov, S. |
| author_facet | Laraiedh, I. Silvestrov, S. |
| author_sort | Laraiedh, I. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2023-03-06T16:39:17Z |
| description | The aim of this paper is to introduce and to develop several methods for constructions of BiHom-X algebras by extending composition methods, and by using Rota-Baxter operators and some elements of centroids. The bimodules of BiHom-left symmetric dialgebras, BiHom-associative dialgebras and BiHom-tridendriform algebra are defined, and it is shown that a sequence of this kind of bimodules can be constructed. Their matched pairs of BiHom-left symmetric, BiHom-associative dialgebras BiHom-tridendriform algebra are introduced and methods for their constructions and properties are investigated. |
| first_indexed | 2026-02-08T07:57:46Z |
| format | Article |
| id | admjournalluguniveduua-article-2023 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:46Z |
| publishDate | 2023 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-20232023-03-06T16:39:17Z Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras Laraiedh, I. Silvestrov, S. BiHom-X algebra, BiHom-left-symmetric dialgebra, matched pair, bimodule, centroid 17B61, 17D30 The aim of this paper is to introduce and to develop several methods for constructions of BiHom-X algebras by extending composition methods, and by using Rota-Baxter operators and some elements of centroids. The bimodules of BiHom-left symmetric dialgebras, BiHom-associative dialgebras and BiHom-tridendriform algebra are defined, and it is shown that a sequence of this kind of bimodules can be constructed. Their matched pairs of BiHom-left symmetric, BiHom-associative dialgebras BiHom-tridendriform algebra are introduced and methods for their constructions and properties are investigated. Lugansk National Taras Shevchenko University 2023-03-06 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023 10.12958/adm2023 Algebra and Discrete Mathematics; Vol 34, No 2 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2023/1027 Copyright (c) 2023 Algebra and Discrete Mathematics |
| spellingShingle | BiHom-X algebra BiHom-left-symmetric dialgebra matched pair bimodule centroid 17B61 17D30 Laraiedh, I. Silvestrov, S. Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras |
| title | Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras |
| title_full | Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras |
| title_fullStr | Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras |
| title_full_unstemmed | Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras |
| title_short | Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras |
| title_sort | constructions of bihom-x algebras and bimodules of some bihom-dialgebras |
| topic | BiHom-X algebra BiHom-left-symmetric dialgebra matched pair bimodule centroid 17B61 17D30 |
| topic_facet | BiHom-X algebra BiHom-left-symmetric dialgebra matched pair bimodule centroid 17B61 17D30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023 |
| work_keys_str_mv | AT laraiedhi constructionsofbihomxalgebrasandbimodulesofsomebihomdialgebras AT silvestrovs constructionsofbihomxalgebrasandbimodulesofsomebihomdialgebras |