Natural Partial Orders on Transformation Semigroups with Fixed Sets
Joint Authors
Chaiya, Yanisa
Honyam, Preeyanuch
Sanwong, Jintana
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-21
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let X be a nonempty set.
For a fixed subset Y of X , let F i x X , Y be the set of all self-maps on X which fix all elements in Y .
Then F i x X , Y is a regular monoid under the composition of maps.
In this paper, we characterize the natural partial order on F i x ( X , Y ) and this result extends the result due to Kowol and Mitsch.
Further, we find elements which are compatible and describe minimal and maximal elements.
American Psychological Association (APA)
Chaiya, Yanisa& Honyam, Preeyanuch& Sanwong, Jintana. 2016. Natural Partial Orders on Transformation Semigroups with Fixed Sets. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1106306
Modern Language Association (MLA)
Chaiya, Yanisa…[et al.]. Natural Partial Orders on Transformation Semigroups with Fixed Sets. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1106306
American Medical Association (AMA)
Chaiya, Yanisa& Honyam, Preeyanuch& Sanwong, Jintana. Natural Partial Orders on Transformation Semigroups with Fixed Sets. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1106306
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106306