On countably compact 0-simple topological inverse semigroups

TL;DR

This paper characterizes the structure of countably compact 0-simple and congruence-free topological inverse semigroups, advancing understanding of their algebraic and topological properties.

Contribution

It provides a detailed description of the structure of these specific classes of topological inverse semigroups, which was previously not well-understood.

Findings

Characterization of 0-simple countably compact topological inverse semigroups

Description of congruence-free countably compact topological inverse semigroups

Structural insights into algebraic and topological properties

Abstract

We describe the structure of 0-simple countably compact topological inverse semigroups and the structure of congruence-free countably compact topological inverse semigroups.