On certain semigroups of contraction mappings of a finite chain

• Date: 2022
• Main Authors: Umar, A., Zubairu, M. M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: starred Green's relations; orthodox semigroups; quasi-adequate semigroups; regularity; 20M20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1816
• Journal Title: Algebra and Discrete Mathematics

Let \([n]=\{1,2,\ldots,n\}\) be a finite chain and let \(\mathcal{P}_{n}\) (resp., \(\mathcal{T}_{n}\)) be the semigroup of partial transformations on \([n]\) (resp., full transformations on \([n]\)). Let \(\mathcal{CP}_{n}=\{\alpha\in \mathcal{P}_{n}: (\text{for all }x,y\in \operatorname{Dom}\alpha...