The Structure of 0 -Bisimple Strongly E * -unitary Inverse Monoids

Abstract. We introduce a class of strongly E ^* -unitary inverse semigroups S _i (G,P) (i=1,2) determined by a group G and a submonoid P of G and give an embedding theorem for S _i (G,P) . Moreover we characterize 0 -bisimple strongly E ^* -unitary inverse monoids and 0 -bisimple strongly F ^* -inverse monoids by using S _i (G,P) .