Ends Lemma based $\Gamma$-semihypergroups and their various Ideals

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Ghazavi S.H.; Mirvakili S.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2025 | Volume:6 | Issue:2 Page(s): 139-149

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Information Journal Paper

Title

Ends Lemma based $\Gamma$-semihypergroups and their various Ideals

Author(s)

Ghazavi S.H. | Mirvakili S. | Issue Writer Certificate

Keywords

$(m

n)$-ideal

interior ideal

ordered $\Gamma$-semigroup

Ends lemma

$EL$-hyperstructure

Abstract

In this paper, we investigate the connection between various types of $\Gamma$-ideals (for examples $(m, n)$-ideal, bi-ideal, interior ideal, quasi ideal, prime ideal and maximal ideal) of an ordered $\Gamma$-semigroup $(S,\Gamma,\leq)$ and the corresponding hyperideals of its $EL$-$\Gamma$-hyperstructure $(S,\overline\Gamma)$ (if exists).

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