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

• Date: 2023
• Main Authors: Laraiedh, I., Silvestrov, S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: BiHom-X algebra; BiHom-left-symmetric dialgebra; matched pair; bimodule; centroid; 17B61; 17D30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2023
• Journal Title: 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...