Geodesic
A Note on Prime Quasi-Ideals in Ternary Semirings
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 2, p. 361 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper we introduce the concepts of prime and semiprime quasi-ideals in ternary semirings and give its characterization. Furthermore, we show that a quasi-ideal $Q$ of a ternary semiring $S$ is $S$-prime if and only if $RML\subseteq Q$ implies $R\subseteq Q$ or $M\subseteq Q$ or $L\subseteq Q$ for any right ideal $R$, lateral ideal $M$ and left ideal $L$ of $S$.
Classification : 16Y30 16Y60
Keywords: Ternary semiring, Quasi-ideals, Prime quasi-ideals 
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     author = {Manish Kant Dubey and Anuradha },
     title = {A {Note} on {Prime} {Quasi-Ideals} in {Ternary} {Semirings}},
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Manish Kant Dubey; Anuradha . A Note on Prime Quasi-Ideals in Ternary Semirings. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 2, p. 361 . http://geodesic.mathdoc.fr/item/KJM_2013_37_2_a15/