A Class of Globally Determined Clifford Semigroups
Jiang Yanglan, Yuanlan Zhou, Ting-hai Zhang · 2014
An element of a semilattice is called prime(in terms of lattice, “meet irreducible”) if it cannot be expressed as a product of two elements both distinct from itself. In this paper we shall show that the class of Clifford semigroups whose semilattices are generated by their prime elements is globally determined. This extends the result given by Gould and Iskra in Semigroup Forum in 1984.