Natural Partial Orders on Transformation Semigroups with Fixed Sets

Yanisa Chaiya, Preeyanuch Honyam and Jintana Sanwong

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-7

Abstract:

Let be a nonempty set. For a fixed subset of , let be the set of all self-maps on which fix all elements in . Then is a regular monoid under the composition of maps. In this paper, we characterize the natural partial order on and this result extends the result due to Kowol and Mitsch. Further, we find elements which are compatible and describe minimal and maximal elements.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:2759090

DOI: 10.1155/2016/2759090

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