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Abundant semigroups with medial idempotents

Publish Year: 1400
Type: Journal paper
Language: English
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JR_CGASAT-15-1_001

Index date: 14 September 2021

Abundant semigroups with medial idempotents abstract

The effect of the existence of a medial or related idempotent in any abundant semigroup is the subject of this paper. The aim is to naturally order any abundant semigroup S which contains an ample multiplicative medial idempotent u in a way that \mathcal{L}^* and \mathcal{R}^* are compatible  with the natural order and u is a maximum idempotent. The structure of an abundant semigroup containing an ample normal medial idempotent studied in \cite{item6} will be revisited.

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Abundant semigroups with medial idempotents authors

Abdulsalam El-Qallali

Department of Mathematics, Faculty of Science, University of Tripoli, Tripoli, Libya

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