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/