Journal of East China Normal University(Natural Science) >

2017 , Vol. 2017 >Issue 2: 29 - 34

DOI: https://doi.org/10.3969/j.issn.1000-5641.2017.02.004

Natural order on variant semigroup of transformation semigroup preserving equivalence relation

  • QIN Mei-qing
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  • Department of Mathematics, Heze University, Heze Shangdong 274015, China

Received date: 2016-05-27

  Online published: 2017-03-23

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Abstract

A new calculation on transformation semigroup preserving equivalence relation is defined and its variant semigroup derived. The definition of the natural order of the variant semigroup is given, and based on the definition, conditions that the two elements of the variant semigroup are related under the natural order are examined. Meanwhile, the elements about the natural order which are compatible are discussed. Then, the study of the natural order of transformation semigroup preserving equivalence relation is promoted.

Key words： natural order; preserving equivalence relation; compatibility

Cite this article

QIN Mei-qing . Natural order on variant semigroup of transformation semigroup preserving equivalence relation[J]. Journal of East China Normal University(Natural Science), 2017 , 2017(2) : 29 -34 . DOI: 10.3969/j.issn.1000-5641.2017.02.004

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