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Weakly prime ternary subsemimodules of ternary semimodules | ||
| Journal of Algebra and Related Topics | ||
| مقاله 6، دوره 2، شماره 2، اسفند 2014، صفحه 63-72 اصل مقاله (312.41 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| J. N. Chaudhari* ؛ H. P. Bendale | ||
| N. M. University | ||
| چکیده | ||
| In this paper we introduce the concept of weakly prime ternary subsemimodules of a ternary semimodule over a ternary semiring and obtain some characterizations of weakly prime ternary subsemimodules. We prove that if $N$ is a weakly prime subtractive ternary subsemimodule of a ternary $R$-semimodule $M$, then either $N$ is a prime ternary subsemimodule or $(N : M)(N : M)N = 0$. If $N$ is a $Q$-ternary subsemimodule of a ternary $R$-semimodule $M$, then a relation between weakly prime ternary subsemimodules of $M$ containing $N$ and weakly prime ternary subsemimodules of the quotient ternary $R$-semimodule $M/N_{(Q)}$ is obtained. | ||
| کلیدواژهها | ||
| Entire ternary semimodule؛ subtractive ternary subsemimodule؛ partitioning ternary subsemimodule؛ subtractive ternary subsemimodules؛ partitioning ternary subsemimodules؛ weakly prime ternary subsemimodule؛ weakly prime ternary subsemimodules؛ quotient ternary semimodule | ||
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