Citation
Ts. Blyth et Ga. Pinto, On ordered completely simple semigroups, COMM ALGEB, 29(8), 2001, pp. 3477-3494
Citations number
13
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872
→ ACNP
Volume
29
Issue
8
Year of publication
2001
Pages
3477 - 3494
Database
ISI
SICI code
0092-7872(2001)29:8<3477:OOCSS>2.0.ZU;2-E
Abstract
We consider an ordered completely simple semigroup S = M(G; I, A; P) which
is non-degenerate in the sense that G, I, Lambda are non-trivial. We prove
that if every element of S has a biggest inverse then S contains at least o
ne of seven particular types of subsemigroup.