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arXiv · 2504.15727

On some classes of noncommutative dimonoids

Volodymyr Gavrylkiv
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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.

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Volodymyr Gavrylkiv. 2025-04-22. On some classes of noncommutative dimonoids. https://arxiv.org/abs/2504.15727

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