On BiHom-associative dialgebras
Ahmed Zahary, Ibrahima Bakayoko
TL;DR
This paper introduces and explores the structure of BiHom-associative dialgebras, establishing their connections with related algebraic systems, classifying low-dimensional cases, and analyzing their derivations.
Contribution
It provides the first systematic study of BiHom-associative dialgebras, including constructions, classifications, and their relation to other BiHom-algebraic structures.
Findings
Connected BiHom-associative dialgebras with BiHom-Poisson dialgebras and BiHom-Leibniz algebras.
Classified n-dimensional BiHom-diassociative algebras for n ≤ 4.
Analyzed derivations of BiHom-associative dialgebras.
Abstract
The aim of this paper is to introduce and study BiHom-associative dialgebras. We give various constructions and study its connections with BiHom-Poisson dialgebras and BiHom-Leibniz algebras. Next we discuss the central extensions of BiHom-diassociative and we describe the classification of n-dimensional BiHom-diassociative algebras for n less or equal to 4. Finally, we discuss derivations of BiHom-associative dialgebras.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Algebra and Logic · Intuitionistic Fuzzy Systems Applications