Hickey, J.B. (2010) A class of regular semigroups with regularity-preserving elements. Semigroup Forum, 81(1), pp. 145-161. (doi: 10.1007/s00233-009-9170-0)
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Publisher's URL: http://dx.doi.org/10.1007/s00233-009-9170-0
Abstract
We consider regular semigroups S that are the disjoint union of those local submonoids eSe for which the idempotent e is regularity-preserving. The structure of these is given in terms of Rees matrix semigroups over regular monoids, and a description of certain RP-dominated regular semigroups is obtained as a special case.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | UNSPECIFIED |
| Authors: | Hickey, J.B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Semigroup Forum |
| ISSN: | 0037-1912 |
| Published Online: | 01 August 2010 |
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