Partial orders on semigroups of partial transformations with restricted range

• Main Authors: Sangkhanan K., Sanwong J.
• Format: Article
• Language: English
• Published: 2014
• Online Access: http://www.scopus.com/inward/record.url?eid=2-s2.0-84864870168&partnerID=40&md5=40abf6b4a2588b4068d282144e2bffe4; http://cmuir.cmu.ac.th/handle/6653943832/6743
• 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...