On some classes of noncommutative dimonoids
Group Theory
2025-10-29 v3 Rings and Algebras
Abstract
The present paper is devoted to the study of dimonoids, algebraic structures with two associative binary operations that satisfy a prescribed system of axioms. We investigate the properties of dual dimonoids. In the class of noncommutative dimonoids, we construct a number of abelian, nonabelian, and rectangular dimonoids. The structure of these objects is analyzed, their automorphism groups and halos are computed.
Cite
@article{arxiv.2504.15727,
title = {On some classes of noncommutative dimonoids},
author = {Volodymyr Gavrylkiv},
journal= {arXiv preprint arXiv:2504.15727},
year = {2025}
}