On Unions of Prime Submodules Page 1 Southeast Asian Bulletin of Mathematics (2004) 28:
213-218 Southeast Asian Bulletin of Mathematics © SEAMS, 2004 On Unions of Prime …

Let S be a commutative ring with identity, let A be an until (left) S-module. In this paper, we
study the concepts: essential prime sub-modules as a generalization of prime sub-modules …

Let R be a commutative ring with identity, and M be a unital (left) R-module. In this paper we
introduce and study the concepts: small prime submodules and small prime modules as …

In this paper, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …

In this paper the notion of prime matrix is introduced. It is shown that if R is a PID then every
full rank prime submodule of R (n) is the row space of a prime matrix. Hence the notion of a …

Let $ R $ be a commutative ring with identity, $ S $ a multiplicatively closed subset of $ R $,
and $ M $ be an $ R $-module. In this paper, we study and investigate some properties of …

All rings in this article are commutative rings with identity, and all 𝑅-modules are left unitary
𝑅-modules. A proper submodule 𝐸 of an 𝑅-module 𝑋 is called 2-absorbing if whenever …

Full article: On Semiprime Submodules Skip to Main Content Taylor and Francis Online
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A left R-module M is called weakly prime module if the annihilator of any nonzero
submodule of M is a prime ideal and a proper submodule P of M is called weakly prime …

Let $ R $ be a commutative ring and let $ M $ be an $ R $-module. A submodule $ N $ of $
M $ is called a weakly primal submodule provided that the set $ P= w (N)\cup\{0\} $ forms an …