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Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras
Department of Mathematics, Faculty of Sciences, Sfax University, Box 1171, Sfax, 3000, Tunisia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2022 (English)In: Algebra and Discrete Mathematics, ISSN 1726-3255, Vol. 34, no 2, p. 273-316Article in journal (Refereed) Published
Abstract [en]

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 deőned, 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.

Place, publisher, year, edition, pages
Lugansk Taras Shevchenko National University , 2022. Vol. 34, no 2, p. 273-316
Keywords [en]
BiHom-left-symmetric dialgebra, BiHom-X algebra, bimodule, centroid, matched pair
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-62158DOI: 10.12958/adm2023ISI: 000953318600006Scopus ID: 2-s2.0-85150217302OAI: oai:DiVA.org:mdh-62158DiVA, id: diva2:1747594
Available from: 2023-03-30 Created: 2023-03-30 Last updated: 2025-10-10Bibliographically approved

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Silvestrov, Sergei

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