@article {
author = {Chaudhari, J. N. and Bendale, H. P.},
title = {Weakly prime ternary subsemimodules of ternary semimodules},
journal = {Journal of Algebra and Related Topics},
volume = {2},
number = {2},
pages = {63-72},
year = {2014},
publisher = {University of Guilan},
issn = {2345-3931},
eissn = {2382-9877},
doi = {},
abstract = {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 ofÂ 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.},
keywords = {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},
url = {https://jart.guilan.ac.ir/article_67.html},
eprint = {https://jart.guilan.ac.ir/article_67_8ea62efaf0db5bbf026e477cc1e16995.pdf}
}