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dc.contributor.authorYanisa Chaiyaen_US
dc.contributor.authorPreeyanuch Honyamen_US
dc.contributor.authorJintana Sanwongen_US
dc.date.accessioned2018-09-05T03:45:15Z-
dc.date.available2018-09-05T03:45:15Z-
dc.date.issued2017-01-01en_US
dc.identifier.issn13036149en_US
dc.identifier.issn13000098en_US
dc.identifier.other2-s2.0-85010496928en_US
dc.identifier.other10.3906/mat-1507-7en_US
dc.identifier.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85010496928&origin=inwarden_US
dc.identifier.urihttp://cmuir.cmu.ac.th/jspui/handle/6653943832/57536-
dc.description.abstract© Tübitak. Let Y be a fixed subset of a nonempty set X and let Fix(X, Y ) be the set of all self maps on X which fix all elements in Y . Then under the composition of maps, Fix(X, Y ) is a regular monoid. In this paper, we prove that there are only three types of maximal subsemigroups of Fix (X, Y ) and these maximal subsemigroups coincide with the maximal regular subsemigroups when X \ Y is a finite set with |X \ Y | ≥ 2. We also give necessary and sufficient conditions for Fix(X, Y ) to be factorizable, unit-regular, and directly finite.en_US
dc.subjectMathematicsen_US
dc.titleMaximal subsemigroups and finiteness conditions on transformation semigroups with fixed setsen_US
dc.typeJournalen_US
article.title.sourcetitleTurkish Journal of Mathematicsen_US
article.volume41en_US
article.stream.affiliationsChiang Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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