Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras

• Datum: 2023
• Hauptverfasser: Laraiedh, I., Silvestrov, S.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2023
• Schlagworte: BiHom-X algebra; BiHom-left-symmetric dialgebra; matched pair; bimodule; centroid; 17B61; 17D30
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023
• Назва журналу: Algebra and Discrete Mathematics

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...