… of prime submodules with respect to a multiplicative set under quotient module and module
… We examine quotient prime submodules with respect to a multiplicative set and its structure …

… We also prove that NN (0) is a prime submodule of M if and only if XN is irreducible (…
submodule N as N = IM , where I is an ideal of R, and the module M as a multiplication module …

… of S-prime submodules in multiplication modules (see … certain prime submodules in terms
of S-prime submodules. Using Theorem 2.19, we determine all prime submodules of a module …

… multiplication modules to S-multiplication modules. Also, we study S-prime submodules in
S-multiplication modules. … generalize prime avoidance lemma for multiplication modules to S -…

… approximately prime submodules is defined as a new generalization of prime submodules of
unitary modules over a … A proper submodule of an -module is called an approximaitly prime …

… generalization of prime submodules namely essentialy prime sub-module , where a proper
submodule H of an S-module Ai is called essentialy prime sub-module if whenever with …

… if each submodule P of M has the form P = IM for … submodules of finitely generated multiplication
modules. Also, we characterize certain semiprime submodules of an arbitrary module in …

… of S-prime submodules in multiplication modules (see … certain prime submodules in terms
of S-prime submodules. Using Theorem 2.19, we determine all prime submodules of a module …

… 1 ̸= 0 and the modules considered in this article are modules over commutative rings …
submodule N of an R-module M is a maximal non-prime submodule if N is not a prime submodule …

… -weakly prime submodule, then (N :R M) is an S-weakly prime ideal of R. In multiplication
module, … characterizations for S-prime submodule and S-weakly prime submodule (Theorem 3, …