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 |
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Pages (from-to) | 511-527 |
Journal | Semigroup Forum |
Volume | 78 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jan 2009 |