Open AccessThe Strong Semilattice of Pi-groups
Author(s) -
Jiangang Zhang,
Yuhui Yang,
Ran Shen
Publication year - 2018
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v11i3.3274
Subject(s) - semilattice , mathematics , semigroup , inverse semigroup , inverse , group (periodic table) , pure mathematics , discrete mathematics , combinatorics , chemistry , geometry , organic chemistry
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.