E-inversive Dubreil-Jacotin semigroups

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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 languageUnknown
Pages (from-to)511-527
JournalSemigroup Forum
Issue number3
Publication statusPublished - 1 Jan 2009

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