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Semilattices of Nil-extensions of Simple Regular Semigroups

Semilattices of Nil-extensions of Simple Regular Semigroups Semigroups decomposable into a semilattice of Archimedean semigroups, having certain additional properties such as the intra-, left, right and complete π-regularity, have been investigated in many papers. In the present paper, we study the π-regular ones. Among other things, we characterize them as semilattices of nil-extensions of simple regular semigroups. The obtained results generalize some results given by Munn, Putcha, Shevrin, Bogdanović, Ćirić, and others. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

Semilattices of Nil-extensions of Simple Regular Semigroups

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Publisher
Springer Journals
Copyright
Copyright © 2003 by AMSS CAS
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s100110300010
Publisher site
See Article on Publisher Site

Abstract

Semigroups decomposable into a semilattice of Archimedean semigroups, having certain additional properties such as the intra-, left, right and complete π-regularity, have been investigated in many papers. In the present paper, we study the π-regular ones. Among other things, we characterize them as semilattices of nil-extensions of simple regular semigroups. The obtained results generalize some results given by Munn, Putcha, Shevrin, Bogdanović, Ćirić, and others.

Journal

Algebra ColloquiumSpringer Journals

Published: Jan 1, 2003

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