Abstract
Using group congruences, we obtain necessary and sufficient conditions for an ordered E-inversive semigroup to be a Dubreil-Jacotin semigroup. We also determine when such a semigroup is naturally ordered. In particular, when the subset of regular elements is a subsemigroup it contains a multiplicative inverse transversal.
| Original language | Unknown |
|---|---|
| Pages (from-to) | 511-527 |
| Journal | Semigroup Forum |
| Volume | 78 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jan 2009 |