On some classes of noncommutative dimonoids
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911235755212800 |
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| author | Gavrylkiv, Volodymyr |
| author_facet | Gavrylkiv, Volodymyr |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15727 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On some classes of noncommutative dimonoids Gavrylkiv, Volodymyr Group Theory Rings and Algebras 18B40, 37L05, 22A15, 20D45, 20M15, 20B25 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. |
| title | On some classes of noncommutative dimonoids |
| topic | Group Theory Rings and Algebras 18B40, 37L05, 22A15, 20D45, 20M15, 20B25 |
| url | https://arxiv.org/abs/2504.15727 |