Rees Matrix Covers and the Translational Hull of a Locally Inverse Semigroup |
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| Authors: | Francis J. Pastijn Luís A. Oliveira |
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| Affiliation: | 1. Department of Mathematics, Statistics, and Computer Science , Marquette University , Milwaukee, Wisconsin, USA francis.pastijn@marquette.edu;3. Department of Pure Mathematics , Faculty of Science of University of Porto , Porto, Portugal |
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| Abstract: | For any locally inverse semigroup S, there exists a maximal dense ideal extension of S within the class LI of all locally inverse semigroups (Pastijn and Oliveira, 2006 Pastijn , F. J. , Oliveira , L. ( 2006 ). Maximal dense ideal extensions of locally inverse semigroups . Semigroup Forum 72 : 441 – 458 . [Google Scholar], Preprint). Here we realize this maximal dense ideal extension in terms of a canonically constructed quotient of a regular Rees matrix semigroup over an inverse semigroup. |
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| Keywords: | Completely 0-simple semigroup Dense ideal extension Inverse semigroup Locally inverse semigroup Normal band of groups Order ideal Pseudosemilattice Rees matrix semigroup Thread Translational hull |
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