Natural Partial Orders on Transformation Semigroups with Fixed Sets

Let X be a nonempty set. For a fixed subset Y of X, let FixX,Y be the set of all self-maps on X which fix all elements in Y. Then FixX,Y is a regular monoid under the composition of maps. In this paper, we characterize the natural partial order on Fix(X,Y) and this result extends the result due to K...

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Bibliographic Details
Main Authors: Yanisa Chaiya, Preeyanuch Honyam, Jintana Sanwong
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2016/2759090
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