ON THE SEMIATOMICITY FOR COMPLETELY RIGHT INJECTIVE SEMIGROUPS
Eunho L. Moon · Communications of the Korean Mathematical Society · 2004
We here consider necessary and sufficient conditions for a completely right injective semigroup S whose lattice Ｌ(S) of right congruences on S is semiatomic. These are preceded by a number of results on the characterization of a semigroup S in which every automaton over S is injective(called a completely right injective semigroup).