Regularity in semigroups of transformations with invariant sets

• Main Authors: Wanida Choomanee, Preeyanuch Honyam, Jintana Sanwong
• Format: Journal
• Published: 2018
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84882965960&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/47694
• Institution: Chiang Mai University

Let T(X) be the semigroup of all transformations on a set X. For a fixed nonempty subset Y of X, let S(X, Y ) = {α ∈ T(X) : Y α ⊆ Y }. Then S(X, Y ) is a semigroup of total transformations on X which leave a subset Y of X invariant. In this paper, we characterize left regular, right regular and intr...