… S-weakly prime submodule as following: A proper submodule N of an R-module M is said to
be S-weakly prime submodule of M … Ameri, 2003, On the prime submodules of multiplication …

… submodules. Following [7], a proper submodule N of M is said to be weakly prime if for r ∈ R
… In proving that S−1N is a weakly prime submodule of S−1M we do not need the assumption …

… prime and weakly prime submodule is almost prime, and every cyclic almost prime submodule
is weakly prime on ℤ … Based on Corollary 1, we know that weakly prime submodule of ℤ −…

… prime submodule”, and in this paper we prefer to use classical prime submodule instead of
weakly prime submodule. … classical prime submodules which is called weakly classical prime …

… weakly prime, weakly primary-like, weakly 2-absorbing primary and weakly 1-absorbing primary
submodules. … Now, we will show that Gt is not a weakly prime submodule of E(p). To see …

… In this article, we focus only on noncommutative rings with nonzero identity and nonzero
unital left modules. Let R always denote such a ring and let M denote such an R-module. The …

… The authors in [3] introduced 2-prime sub-module when 𝑟𝑚 ∈ 𝑁,𝑟 ∈ 𝑅,𝑚 ∈ 𝑀, either 𝑚
∈ … -pirme sub-module, where N is a generalization of prime. The term "weakly prime sub-module…

… So, every graded prime submodule is a graded weakly prime submodule, and every graded
weakly prime submodule is a graded almost prime submodule. Let GS(M) be the set of all …

… of prime submodules to weakly prime submodules. A proper submodule N of M is called
weakly prime if for each … Based on that definition, we present the definition of left weakly jointly …

… have L is not a weakly primary submodule. Since \(0_{M'}\ne Y(X+K)\in L\) and neither \(X+K\in
L\) nor \(Y\in (L:M')\), then we conclude that L is not a weakly prime submodule of \(M'\). …