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The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let TX be the full transformation semigroup on a set X.
For a fixed nonempty subset Y of a set X, let TX,Y be the semigroup consisting of all full transformations from X into Y.
In a paper published in 2008, Sanwong and Sommanee proved that the set FX,Y=α∈TX,Y:Xα=Yα is the largest regular subsemigroup of TX,Y.
In this paper, we describe the maximal inverse subsemigroups of FX,Y and completely determine all the maximal regular subsemigroups of its ideals.
American Psychological Association (APA)
Sommanee, Worachead. 2018. The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1173448
Modern Language Association (MLA)
Sommanee, Worachead. The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1173448
American Medical Association (AMA)
Sommanee, Worachead. The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1173448
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173448