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 one of seven particular types of subsemigroup.
| Original language | English |
|---|---|
| Pages (from-to) | 3477-3494 |
| Number of pages | 18 |
| Journal | Communications in Algebra |
| Volume | 29 |
| Publication status | Published - 2001 |
Keywords
- REGULAR-SEMIGROUPS
- IDEMPOTENTS