On an Inverse Semi-Group which is Simple but Not Completely Simple (2007)
W. D. Munn, (1966) has shown that if E is a semilattice, then the Munn semigroup TE of E is an inverse semigroup whose semilattice of idempotents is isomorphic to E. If E is a uniform semillatice,...
On Primitive Abundant Semigroups and PA-Blocked Rees Matrix Semigroups (2007)
In this paper we utilize Warne’s homomorphism theorem for bisimple inverse semigroups with an identity element [13, Theorem 1.1] to prove the theorem: Every primitive abundant semigroup with a zero...