Regularity and green's relations on a semigroup of transformations with restricted range

• Main Authors: Sanwong J., Sommanee W.
• Format: Article
• Language: English
• Published: 2014
• Online Access: http://www.scopus.com/inward/record.url?eid=2-s2.0-57949087617&partnerID=40&md5=1b48759ab6ee6c2e1f8a2246e47ea842; http://cmuir.cmu.ac.th/handle/6653943832/5334
• Institution: Chiang Mai University

Let T(X) be the full transformation semigroup on the set X and let T (X), Y) = {α ∈ T (X) : X α ⊆ Y}. Then T(X, Y) is a sub-semigroup of T(X) determined by a nonempty subset Y of X. In this paper, we give a necessary and sufficient condition for T(X, Y) to be regular. In the case that T(X, Y) is not...