The Strong Semilattice of Pi-groups

Jiangang Zhang, Yuhui Yang, Ran Shen

Abstract

A semigroup is called a GV-inverse semigroup if and only if it is isomorphic to a semilattice of $\pi$-groups. In this paper, we give the sufficient and necessary conditions for a GV-inverse semigroup to be a strong semilattice of $\pi$-groups. Some conclusions about Clifford semigroups are generalized.

Keywords

GV-inverse semigroup, $\pi$-group, strong semilattice, homomorphism

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