BI-HYPERIDEALS AND QUASI-HYPERIDEALS IN ORDERED SEMIHYPERGROUPS

Authors

  • Thawhat Changphas Khon Kaen University - Department of Mathematics
  • Bijan Davvaz Yazd University - Department of Mathematics

Keywords:

algebraic hyperstructure, ordered semihypergroup, subsemihypergroup, hyperideal, bi-hyperideal, quasi-hyperideal, quasi-simple, intra-regular

Abstract

In this paper, we introduce concepts of bi-hyperideals and quasi-hyperideals of an ordered semihypergroup and present several examples of them.  Some properties and relationships between bi-hyperideals and quasi-hyperideals are investigated.  In particular, we introduce the concept of intra-regular ordered semihypergroups and give their characterizations in terms of bi-hyperideals and quasi-hyperideals.

Cover of n°35 Italian Journal of Pure and Applied Mathematics

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Published

2015-12-31

How to Cite

Changphas, T., & Davvaz, B. (2015). BI-HYPERIDEALS AND QUASI-HYPERIDEALS IN ORDERED SEMIHYPERGROUPS. Italian Journal of Pure and Applied Mathematics, 35, 493–508. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6404

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Thawhat Changphas, Bijan Davvaz

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)