Partial orders on semigroups of partial transformations with restricted range

• Main Authors: Kritsada Sangkhanan, Jintana Sanwong
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864870168&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/51794
• Institution: Chiang Mai University

Let X be any set and P(X) the set of all partial transformations defined on X, that is, all functions α:A→B where A,B are subsets of X. Then P(X) is a semigroup under composition. Let Y be a subset of X. Recently, Fernandes and Sanwong defined PT(X,Y)={α P(X):XαY } and defined I(X,Y) to be the set o...