Regularity and Green’s relations for the semigroups of partial and full contractions of a finite chain

Let [n]={1,2,…,n} be a finite chain and let Pn be the semigroup of partial transformations on [n]. Let CPn={α∈Pn:(for allx,y∈Domα)|xα−yα|≤|x−y|} be the semigroup of partial contractions on [n]. Then CPn is a subsemigroup of Pn. In this paper, in the second and third sections we give a necessary and...

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Bibliographic Details
Main Authors: Bashir Ali, Abdullahi Umar, Muhammad Mansur Zubairu
Format: Article
Language:English
Published: Elsevier 2023-09-01
Series:Scientific African
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2468227623003459