A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID
In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of \(I_n\). While the rank and a set of generators of minimal size for this monoid are already known, we will pro...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
2023-12-01
|
| Series: | Ural Mathematical Journal |
| Subjects: | |
| Online Access: | https://umjuran.ru/index.php/umj/article/view/606 |
| _version_ | 1797374232697503744 |
|---|---|
| author | Apatsara Sareeto Jörg Koppitz |
| author_facet | Apatsara Sareeto Jörg Koppitz |
| author_sort | Apatsara Sareeto |
| collection | DOAJ |
| description | In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of \(I_n\). While the rank and a set of generators of minimal size for this monoid are already known, we will provide a presentation for this monoid. |
| first_indexed | 2024-03-08T19:02:57Z |
| format | Article |
| id | doaj.art-851a81546e8445dfb9e070d9eb8a4930 |
| institution | Directory Open Access Journal |
| issn | 2414-3952 |
| language | English |
| last_indexed | 2024-03-08T19:02:57Z |
| publishDate | 2023-12-01 |
| publisher | Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj.art-851a81546e8445dfb9e070d9eb8a49302023-12-28T04:27:28ZengKrasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.Ural Mathematical Journal2414-39522023-12-019210.15826/umj.2023.2.015190A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOIDApatsara Sareeto0Jörg Koppitz1Institute of Mathematics, University of Potsdam, Potsdam, 14476Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 1113In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of \(I_n\). While the rank and a set of generators of minimal size for this monoid are already known, we will provide a presentation for this monoid.https://umjuran.ru/index.php/umj/article/view/606symmetric inverse monoid, order-preserving, fence-preserving, presentation |
| spellingShingle | Apatsara Sareeto Jörg Koppitz A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID Ural Mathematical Journal symmetric inverse monoid, order-preserving, fence-preserving, presentation |
| title | A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID |
| title_full | A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID |
| title_fullStr | A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID |
| title_full_unstemmed | A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID |
| title_short | A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID |
| title_sort | presentation for a submonoid of the symmetric inverse monoid |
| topic | symmetric inverse monoid, order-preserving, fence-preserving, presentation |
| url | https://umjuran.ru/index.php/umj/article/view/606 |
| work_keys_str_mv | AT apatsarasareeto apresentationforasubmonoidofthesymmetricinversemonoid AT jorgkoppitz apresentationforasubmonoidofthesymmetricinversemonoid AT apatsarasareeto presentationforasubmonoidofthesymmetricinversemonoid AT jorgkoppitz presentationforasubmonoidofthesymmetricinversemonoid |