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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| Дата: | 2023 |
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| Мова: | English |
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Lugansk National Taras Shevchenko University
2023
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2023-03-06T16:39:17Z |
| collection |
OJS |
| language |
English |
| topic |
BiHom-X algebra BiHom-left-symmetric dialgebra matched pair bimodule centroid 17B61 17D30 |
| 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 |
| topic_facet |
BiHom-X algebra BiHom-left-symmetric dialgebra matched pair bimodule centroid 17B61 17D30 |
| format |
Article |
| author |
Laraiedh, I. Silvestrov, S. |
| author_facet |
Laraiedh, I. Silvestrov, S. |
| author_sort |
Laraiedh, I. |
| title |
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_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_sort |
constructions of bihom-x algebras and bimodules of some bihom-dialgebras |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023 |
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AT laraiedhi constructionsofbihomxalgebrasandbimodulesofsomebihomdialgebras AT silvestrovs constructionsofbihomxalgebrasandbimodulesofsomebihomdialgebras |
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2025-07-17T10:31:07Z |
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2025-07-17T10:31:07Z |
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