| On an Inverse Semi-Group which is Simple but Not Completely Simple (2007) | |||||||||
Abstract | |||||||||
| 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, then TE is a bisimple inverse semigroup. J. M. Howie, (1976) proved that up to isomorphism, the only fundamental bisimple semigroup S, having E = CW = { e0, e1, e2,………………} with e0> e1> e2Is the Bisyclic semigroup. In this paper is highlighted the structure of the Bicyclic semigroup and prove that every simple semigroup which has idempotent, none of which is primitive, must necessarily be a web of bicyclic semigroups. | |||||||||
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