On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups

Abstract

In this article, we deal with ordered generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups. In particular, we study $(m, n)$-regular ordered $\Gamma$-semihypergroups in terms of ordered $(m, n)$-$\Gamma$-hyperideals. Moreover, we obtain some ideal theoretic results in ordered $\Gamma$-semihypergroups.

Keywords

• Ordered bi-$\Gamma$-hyperideal,Ordered $\Gamma$-semihypergroup,Regular ordered $\Gamma$-semihypergroup

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