Characterizations of regular and intra-regular ordered $\Gamma$-semihypergroups in terms of bi-$\Gamma$-hyperideals

Authors

  • S. Omidi Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran
  • B. Davvaz Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran
  • K. Hila Department of Mathematical Engineering, Polytechnic University of Tirana, 1000, Tirana, Albania https://orcid.org/0000-0001-6425-2619
https://doi.org/10.15330/cmp.11.1.136-151

Keywords:

ordered $\Gamma$-semihypergroup, $\Gamma$-hyperideal, bi-$\Gamma$-hyperideal
Published online: 2019-06-30

Abstract

The concept of $\Gamma$-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of $\Gamma$-semigroups. In this paper, we study the notion of bi-$\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups and investigate some properties of these bi-$\Gamma$-hyperideals. Also, we define and use the notion of regular ordered $\Gamma$-semihypergroups to examine some classical results and properties in ordered $\Gamma$-semihypergroups.

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How to Cite
(1)
Omidi, S.; Davvaz, B.; Hila, K. Characterizations of Regular and Intra-Regular Ordered $\Gamma$-Semihypergroups in Terms of Bi-$\Gamma$-Hyperideals. Carpathian Math. Publ. 2019, 11, 136-151.