KG-strong Semilattice Decomposition of Regular Cryptogroups
Zhiling Yuan · Advances in Mathematics · 2004
The famous result of Petrich, a completely regular semigroup is a normal cryptogroup if and only if it is a strong semilattice of completely simple semigroups is generalized, we prove that a completely regular semigroup is a regular(or right quasinormal) cryptogroup if and only if it is an HG(LG)- strong semilattice of completely simple semigroups.