Regularity in semigroups of transformations with invariant sets

• Main Authors: Choomanee W., Honyam P., Sanwong J.
• Format: Article
• Language: English
• Published: 2014
• Online Access: http://www.scopus.com/inward/record.url?eid=2-s2.0-84882965960&partnerID=40&md5=848afa282e9cf076778df1e23d02556f; http://cmuir.cmu.ac.th/handle/6653943832/7120
• 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...