Congruence on a strong semilattice of π-groups
DAI Luyao, ZHANG Jiangang, Ran Shen · DOAJ (DOAJ: Directory of Open Access Journals) · 2022
It is well known that a semigroup is a Clifford semigroup， if and only if it is a strong semilattice of groups， and the class of π-groups is the generalization of groups in the range of π-regular semigroups. Congruence is an important tool when studying the characterization and structure of a semigroup. In this paper， we consider the regular congruences on a strong semilattice of π-groups， and give necessary and sufficient conditions for a congruence on a strong semilattice of π-groups to be a regular congruence.