Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 53, No. 4, pp. 435-456 (1996)

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The Concept of Structural Regularity

Samuel J.L. Kopamu

Department of Mathematics and Computer Science, PNG University of Technology,
Private Mail Bag, LAE -- PAPUA NEW GUINEA
E-mail: sam@maths.unitech.ac.pg

Abstract: We introduce the class of structurally regular semigroups. Examples of such semigroups are presented, and relationships with other known generalisations of the class of regular semigroups are explored. Some fundamental results and concepts about regular semigroups are generalised to this new class. In particular, a version of Lallement's Lemma is proved.

Keywords: Semigroups.

Classification (MSC2000): 20M

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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