On the ranks of certain ideals of monotone contractions

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:6
On the ranks of certain ideals of monotone contractions

On the ranks of certain ideals of monotone contractions

Pages : 1988-1996

View : 105 | Download : 16

Publication Date : 2020-12-08

Article Type : Research Paper

Abstract :Let $T_{n}$ be the insert ignore into journalissuearticles values(full); transformation semigroup, and let $OCT_{n}$ and $ORCT_{n}$ be its subsemigroups of isotone contractions and of monotone contractions on a finite chain $X_{n}=\{1,\ldots ,n\}$ under its natural order, respectively. In this study, we obtain the ranks of the ideals $OCT_{n,r}=\{\alpha\in OCT_{n}\,:\, |iminsert ignore into journalissuearticles values(\alpha);|\leq r\}$ and $ORCT_{n,r}=\{ \alpha \in ORCT_{n}\,:\, |iminsert ignore into journalissuearticles values(\alpha);|\leq r\}$ for $1\leq r\leq n-1$.
Keywords : isotone antitone monotone transformation, contraction, rank

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.