Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON (m, n)-IDEALS OF AN ORDERED ABEL-GRASSMANN GROUPOID

  • YOUSAFZAI, FAISAL (School of Mathematical Sciences University of Science and Technology of China) ;
  • KHAN, ASAD (School of Mathematical Sciences University of Science and Technology of China) ;
  • IAMPAN, AIYARED (Department of Mathematics, School of Science University of Phayao)
  • Received : 2014.12.18
  • Accepted : 2015.08.26
  • Published : 2015.09.30
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Abstract

In this paper, we introduce the concept of (m, n)-ideals in a non-associative ordered structure, which is called an ordered Abel-Grassmann's groupoid, by generalizing the concept of (m, n)-ideals in an ordered semigroup [14]. We also study the (m, n)-regular class of an ordered AG-groupoid in terms of (m, n)-ideals.

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References

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