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A structure preserving embedding of semigroups into regular semigroups
Citation
Trotter, PG, A structure preserving embedding of semigroups into regular semigroups, Communications in Algebra, 37, (8) pp. 2920-2932. ISSN 0092-7872 (2009) [Refereed Article]
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Copyright Statement
The definitive published version is available online at: http://www.tandf.co.uk/journals
Official URL: http://www.tandf.co.uk/journals
DOI: doi:10.1080/00927870902747274
Abstract
For any semigroup S a regular semigroup C(S) that embeds S can be constructed as the direct limit of a sequence of semigroups each of which contains a copy of its predecessor as a subsemigroup whose elements are regular. The construction is modified here to obtain an embedding of S into a regular semigroup R such that the nontrivial maximal subgroups of R are isomorphic to the Schtzenberger groups of S and such that the restriction to S of any of Green's relations on R is the corresponding Green's relation on S.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | Embedding; Regular semigroups; Semigroups; Structure |
| Research Division: | Mathematical Sciences |
| Research Group: | Pure mathematics |
| Research Field: | Algebra and number theory |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Trotter, PG (Dr Peter Trotter) |
| ID Code: | 60947 |
| Year Published: | 2009 |
| Web of Science® Times Cited: | 1 |
| Deposited By: | Mathematics |
| Deposited On: | 2010-02-23 |
| Last Modified: | 2010-10-06 |
| Downloads: | 0 |
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