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.
Chaudhari, J. N., & Bendale, H. P. (2014). Weakly prime ternary subsemimodules of ternary semimodules. Journal of Algebra and Related Topics, 2(2), 63-72.
MLA
J. N. Chaudhari; H. P. Bendale. "Weakly prime ternary subsemimodules of ternary semimodules". Journal of Algebra and Related Topics, 2, 2, 2014, 63-72.
HARVARD
Chaudhari, J. N., Bendale, H. P. (2014). 'Weakly prime ternary subsemimodules of ternary semimodules', Journal of Algebra and Related Topics, 2(2), pp. 63-72.
VANCOUVER
Chaudhari, J. N., Bendale, H. P. Weakly prime ternary subsemimodules of ternary semimodules. Journal of Algebra and Related Topics, 2014; 2(2): 63-72.
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