Conditions of cantorness and co-cantorness for acts over the trivial semigroup
We find the necessary and sufficient conditions for an act $X$ over a trivial semigroup $\{e\}$ to be cantorian (or co-cantorian), i.e., for any act $Y$ the existence of injective (resp., surjective) homomorphisms $X \to Y$ and $Y \to X$ implies the isomorphism $X \cong Y$.
Authors
- И. Б. Кожухов (ORCID: https://orcid.org/0000-0002-1918-6197)
- A. S. Sotov
Institutions
- Moscow Power Engineering Institute (RU)
- Lomonosov Moscow State University (RU)
- Moscow State University (TJ)
- Moscow Aviation Institute (RU)
Publication Details
- Journal
- Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
- Published
- 2025-06-29
- DOI
- https://doi.org/10.26907/0021-3446-2025-6-45-56
- Primary Topic
- semigroups and automata theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00