The Refined Semilattice Construction Of Locally Orthodox Regular Cryptogroups
Houyi Yu, Zhengpan Wang · Communications in Algebra · 2012
In this article, we show that a semigroup is a locally orthodox regular cryptogroup if and only if it is isomorphic to a refined semilattice of completely simple semigroups. This structural description is specialized to left (respectively, right) quasinormal cryptogroups. The strong semilattice construction of normal cryptogroups is also a special case.