On some classes of non-commutative dimonoids

Authors

  • V. Gavrylkiv Vasyl Stefanyk Carpathian National University, Ivano-Frankivsk

DOI:

https://doi.org/10.3842/umzh.v77i12.9209

Keywords:

напівгрупа, дімоноїд, група автоморфізмів

Abstract

UDC 512.53

We study  dimonoids, i.e., algebraic structures with  two associative binary operations satisfying a given system of axioms. We analyze the properties of dual dimonoids. In the class of non-commutative dimonoids, we construct numerous Abelian, non-Abelian, and rectangular dimonoids. The structure of these objects is analyzed, their automorphism groups and halos are computed.

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Published

14.11.2025

Issue

Vol. 77 No. 12 (2025)

Section

Research articles

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Copyright (c) 2025 Володимир Гаврилків

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How to Cite

Gavrylkiv, V. “On Some Classes of Non-Commutative Dimonoids”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 12, Nov. 2025, pp. 703–714, https://doi.org/10.3842/umzh.v77i12.9209.