… Also, weakly primary ideals in a commutative ring with non-zero identity have been introduced
and studied in [5]. Here we study weakly prime submodules … for weakly prime submodules …

… Weakly prime submodules also have been studied in [2, 4, 5]. If we consider R as an R-module,
then prime submodules and weakly prime submodules are exactly prime ideals of R. For …

… on almost fully weakly prime modules. Clearly, each nonzero submodule of an almost fully
weakly prime … and well-known facts on prime ideals to weakly prime submodule. Minimal …

… N of M is called weakly prime, if r;s 2 R and x 2 M with rsx 2 N … and study two generalizations
of weakly prime submodules. … Now if on the contrary N is a 2absorbing submodule, then …

… 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 …

… On the other hand, it is easy to see that in Z ⊕ Z as Z-module, (0) ⊕ 2Z is … three concepts
“prime submodules”, “weakly prime submodules” and “almost prime submodules” coincide or …

… A proper submodule N of M is called weakly prime if for a ∈ R … proper submodule N of M is
called a classical prime submodule, … For more information on classical prime submodules, the …

… weakly prime submodule is just weakly prime. In studying unique factorization domains,
Bhatwadekar and Sharma [8] defined an almost prime … [x] is a weakly prime submodule of M. We …

… 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 submodules is named “weakly prime submodules”). For more information on classical
prime submodules, … First, we show that N1 is a weakly prime submodule of M1. Let 0 = am1 …