On topological Clifford semigroups embeddable into products of cones over topological groups

TL;DR

This paper characterizes topological Clifford semigroups that can be embedded into products of cones over topological groups and into compact topological Clifford semigroups, advancing understanding of their structural properties.

Contribution

It provides new criteria for embedding topological Clifford semigroups into products of cones over groups and into compact semigroups, revealing their structural embeddings.

Findings

Characterization of embeddability into products of cones over groups

Identification of conditions for embedding into compact Clifford semigroups

Structural insights into topological Clifford semigroups

Abstract

In this paper we detect topological Clifford semigroups which are embeddable into Tychonoff products of topological semilattices and cones over topological groups. Also we detect topological Clifford semigroups which embed into compact topological Clifford semigroups.