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

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...

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Bibliographic Details
Main Authors: Jintana Sanwong, Worachead Sommanee
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=57949087617&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/60548
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Institution: Chiang Mai University