… concept of S-semiprime submodules which are a generalization of semiprime submodules
and S-prime submodules… Let M be a nonzero unital R-module, where R is a commutative ring …

… properties of a quasi-semiprime submodules and to look for … - semiprime submodules and
the concepts of semiprime, quasi –prime and pure submodules and other well none concepts. …

… as a strong from of weakly semiprime submodule was introduced in [3]. In … concept WN-semiprime
submodule, where a proper submodule 𝐴 of an R-module 𝐺 is called WN-semiprime, …

… submodules, called (m,n)-semiprime submodule, which is a generalization of semiprime
submodule… In this article, we have discussed the concept of (m,n)-semiprime submodules, which …

… We introduce the concepts small semiprime module as a generalization of … ⟹ Suppose
𝐺 is small semiprime module ie 0 is small semiprime submodule of 𝐺. To show that 𝑎𝑛𝑛𝐿 √…

… submodule N of B, then B is called quasi -semiprime module, … modules and quasi-semiprime
modules, which are equivalent. … concepts of prime modules and quasi-semiprime modules …

… the confluence of all maximal submodules of W, and consequently … submodule categorization
dubbed J-Prime slide-modules. … a semi-prime submodule nevertheless not a J-semiprime. …

… and G be a RΓ-module. Aproper RΓ-submodule E of G is said to be S-prime (S-semiprime)
RΓ-… 2- It is clear that every S −semiprime submodule is S-semiprime RΓ-submodule. However, …

… of modules defined in [5] and the concept … semiprime in M (or a semiprime submodule of
M) if for any K ⊆FI M such that KM K ⊆ N, then K ⊆ N. We say M is semiprime if 0 is semiprime …

… If N is an irreducible and weakly semiprime submodule of M, then we prove that (N :R M) is
a … many results have been given to explore the nature of prime ideals and related concepts. …