Loading...
Please wait, while we are loading the content...
Similar Documents
THE IDEAL STRUCTURE OF SEMIGROUPS OF TRANSFORMATIONS WITH RESTRICTED RANGE
| Content Provider | Scilit |
|---|---|
| Author | Mendes-Gonçalves, Suzana Sullivan, R. P. |
| Copyright Year | 2010 |
| Description | Let Y be a fixed nonempty subset of a set X and let T(X,Y ) denote the semigroup of all total transformations from X into Y. In 1975, Symons described the automorphisms of T(X,Y ). Three decades later, Nenthein, Youngkhong and Kemprasit determined its regular elements, and more recently Sanwong, Singha and Sullivan characterized all maximal and minimal congruences on T(X,Y ). In 2008, Sanwong and Sommanee determined the largest regular subsemigroup of T(X,Y ) when |Y |≠1 and Y ≠ X; and using this, they described the Green’s relations on T(X,Y ) . Here, we use their work to describe the ideal structure of T(X,Y ) . We also correct the proof of the corresponding result for a linear analogue of T(X,Y ) . |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F0596D3CD12ECA7E2F29889CDA911D44/S0004972710001814a.pdf/div-class-title-the-ideal-structure-of-semigroups-of-transformations-with-restricted-range-div.pdf |
| Ending Page | 300 |
| Page Count | 12 |
| Starting Page | 289 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972710001814 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 2 |
| Volume Number | 83 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2011-04-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Primary 20m20 Secondary 15a04 Transformation Semigroups |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
