تقرير
A presentation for a submonoid of the symmetric inverse monoid
| العنوان: | A presentation for a submonoid of the symmetric inverse monoid |
|---|---|
| المؤلفون: | Sareeto, Apatsara, Koppitz, Jörg |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 20M05, 20M18, 20M20, F.4 |
| الوصف: | A fully invarient congruence relations on the free algebra on a given type induces a variety of the given type. In contrast, a congruence relation of the free algebra provides algebra of that type. This algebra is given by a so-called presentation. In the present paper, we deal with an important class of algebras of type $(2)$, namely with semigroups of transformations on a finite set. Here, we are particularly interested in a presentation of a submonoid of the symmetric inverse monoid $I_n$. Our main result is a presentations for $IOF_n^{par}$, the monoid of all order-preserving, fence-preserving, and parity-preserving transformations on an $n$-element set. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.15809 |
| رقم الأكسشن: | edsarx.2310.15809 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |