Geodesic
On Uniformly Strongly Prime $\Gamma$-Semihyperring
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 79 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The $\Gamma$-semihyperring is a generalization of the concepts of a semiring, a semihyperring and a $\Gamma$-semiring. The concepts of uniformly strongly (weak) prime $\Gamma$-semihyperring and essential extension for the $\Gamma$-semihyperring are introduced and studied some important properties in this respect. It is proved that any essential extension of a uniformly strongly prime $\Gamma$-semihyperring is a uniformly weak prime $\Gamma$-semihyperring. Also strongly prime radical of a $\Gamma$-semihyperring is introduced and its characterization is made with the help of a super sp-system. A necessary and sufficient condition for a ideal of $\Gamma$-semihyperring to be a right strongly prime ideal is provided with the help of sp-system and super sp-system.
Classification : 16Y99, 20N20, 16D25
Keywords: Prime $\Gamma$-semihyperring, uniformly strongly prime $\Gamma$-semihyperring, super sp-system 
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Jitendrasing J. Patil; Kishor F. Pawar. On Uniformly Strongly Prime $\Gamma$-Semihyperring. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 79 . http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a5/