Work

Conditions of cantorness and co-cantorness for acts over the trivial semigroup

Year: 2025

Type: article

Abstract: 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 $X \cong Y$.

Source: Russian Mathematics

DOI: 10.26907/0021-3446-2025-6-45-56

Authors: I. B. Kozhukhov, A. S. Sotov

Institution: Lomonosov Moscow State University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4411838593

FWCI:

Cites: 5

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Related to: 10