TY - JOUR ID - 67 TI - Weakly prime ternary subsemimodules of ternary semimodules JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Chaudhari, J. N. AU - Bendale, H. P. AD - N. M. University Y1 - 2014 PY - 2014 VL - 2 IS - 2 SP - 63 EP - 72 KW - Entire ternary semimodule KW - subtractive ternary subsemimodule KW - partitioning ternary subsemimodule KW - subtractive ternary subsemimodules KW - partitioning ternary subsemimodules KW - weakly prime ternary subsemimodule KW - weakly prime ternary subsemimodules KW - quotient ternary semimodule DO - N2 - 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. UR - https://jart.guilan.ac.ir/article_67.html L1 - https://jart.guilan.ac.ir/article_67_8ea62efaf0db5bbf026e477cc1e16995.pdf ER -