Geodesic
Completely Prime Hyperideals of Ternary Semihypergroups
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 285-295

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In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them. We prove that if a ternary semihypergroup is globally idempotent, then every maximal hyperideal is a prime hyperideal. Also we study some properties of prime, completely prime and pseudosymmetric hyperideals of a ternary semihypergroup and characterize them. The interrelation among them is considered in ternary semihypergroups.
Keywords: pseudosymmetric, globally idempotent, leftsimple ternary semi-hypergroup 
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     title = {Completely {Prime} {Hyperideals} of {Ternary} {Semihypergroups}},
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Sarala, Y.; Seetha Mani, P.; Gulistan, M.; Jaya Lalitha, G. Completely Prime Hyperideals of Ternary Semihypergroups. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 285-295. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_2_a11/