تقرير
On certain semigroups of full contractions of a finite chain
| العنوان: | On certain semigroups of full contractions of a finite chain |
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| المؤلفون: | Umar, A., Zubairu, M. M. |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20M |
| الوصف: | Let $[n]=\{1,2,\ldots,n\}$ be a finite chain and let $\mathcal{T}_{n}$ be the semigroup of full transformations on $[n]$. Let $\mathcal{CT}_{n}=\{\alpha\in \mathcal{T}_{n}: (for ~all~x,y\in [n])~\left|x\alpha-y\alpha\right|\leq\left|x-y\right|\}$, then $\mathcal{CT}_{n}$ is a subsemigroup of $\mathcal{T}_{n}$. In this paper, we give a necessary and sufficient condition for an element to be regular and characterize all the Green's equivalences for the semigroup $\mathcal{CT}_{n}$. We further show that the semigroup $\mathcal{CT}_{n}$ is a left abundant semigroup. Comment: 10. arXiv admin note: text overlap with arXiv:1803.02146 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1804.10057 |
| رقم الأكسشن: | edsarx.1804.10057 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |