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

Year 2019, Volume: 2 Issue: 1, 18 - 23, 17.06.2019

Abul Basar Mohammad Yahya Abbasi Satyanarayana Bhavanari

https://doi.org/10.33401/fujma.543712

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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