Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range
Joint Authors
Sanwong, Jintana
Sommanee, Worachead
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-11-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let T(X) be the full transformation semigroup on the set X and let T(X,Y)={α∈T(X):Xα⊆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 regular, the largest regular sub-semigroup is obtained and this sub-semigroup is shown to determine the Green's relations on T(X,Y).
Also, a class of maximal inverse sub-semigroups of T(X,Y) is obtained.
American Psychological Association (APA)
Sanwong, Jintana& Sommanee, Worachead. 2008. Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-498633
Modern Language Association (MLA)
Sanwong, Jintana& Sommanee, Worachead. Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-11.
https://search.emarefa.net/detail/BIM-498633
American Medical Association (AMA)
Sanwong, Jintana& Sommanee, Worachead. Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range. International Journal of Mathematics and Mathematical Sciences. 2008. Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-498633
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498633