
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.
упорядковані $\Gamma$-напівгіпергрупи, $\Gamma$-гіперідеали, bi-$\Gamma$-гіперідеали, \(\Gamma\)-hyperideal, bi-$\gamma$-hyperideal, Generalizations, ordered \(\Gamma\)-semihypergroup, $\gamma$-hyperideal, bi-\(\Gamma\)-hyperideal, ordered $\gamma$-semihypergroup, Ordered structures, QA1-939, ordered $\Gamma$-semihypergroup, $\Gamma$-hyperideal, bi-$\Gamma$-hyperideal, Hypergroups, Mathematics
упорядковані $\Gamma$-напівгіпергрупи, $\Gamma$-гіперідеали, bi-$\Gamma$-гіперідеали, \(\Gamma\)-hyperideal, bi-$\gamma$-hyperideal, Generalizations, ordered \(\Gamma\)-semihypergroup, $\gamma$-hyperideal, bi-\(\Gamma\)-hyperideal, ordered $\gamma$-semihypergroup, Ordered structures, QA1-939, ordered $\Gamma$-semihypergroup, $\Gamma$-hyperideal, bi-$\Gamma$-hyperideal, Hypergroups, Mathematics
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