Lawrence N. EZEAKO (2007) On an Inverse Semi-Group which is Simple but Not Completely Simple

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On an Inverse Semi-Group which is Simple but Not Completely Simple

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CONTRIBUTORS:

Author:

Lawrence N. EZEAKO

JOURNAL:

Leonardo Journal of Sciences, 6(11), 25 - 32.

YEAR:

2007

PUB TYPE:

Journal Article

SUBJECT(S):

Bicycle Semi-Group Structure; Inverse Semi-Group; Simple Semi-group; Bisimple Semi-Group, Completely Simple Semi-group

DISCIPLINE:

Mathematics

HTTP:

http://ljs.academicdirect.org/A11/025_032.pdf

LANGUAGE:

English

PUB ID:

103-439-836 (Last edited on 2008/01/06 03:36:50 US/Mountain)

SPONSOR(S):

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,ЕЕЕЕЕЕ} with e0> e1> e2 Is 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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