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NATURAL PARTIAL ORDER IN SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET
| Content Provider | Scilit |
|---|---|
| Author | Sun, Lei Wang, Limin |
| Copyright Year | 2012 |
| Description | Let $𝒯_{X}$ be the full transformation semigroup on the nonempty set X. We fix a nonempty subset Y of X and consider the semigroup of transformations that leave Y invariant, and endow it with the so-called natural partial order. Under this partial order, we determine when two elements of S(X,Y ) are related, find the elements which are compatible and describe the maximal elements, the minimal elements and the greatest lower bound of two elements. Also, we show that the semigroup S(X,Y ) is abundant. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0C68147330288CDADF824B479637B175/S0004972712000287a.pdf/div-class-title-natural-partial-order-in-semigroups-of-transformations-with-invariant-set-div.pdf |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972712000287 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 1 |
| Volume Number | 87 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2013-02-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Hardware and Architecture Primary 20m20 Transformation Semigroups Natural Order |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
