A proper submodule N of a module M over a ring R is said to be prime (or P-prime) if re e N
for re R and ee M implies that either ee N or re P= N: M. In other words, N is a prime …

‎‎ Let $ R $ be a commutative ring with non-zero identity, $ S\subseteq R $ be a
multiplicatively closed subset of $ R $ and let $ M $ be an $ R $-module. A submodule $ N …

Let $ R $ be a commutative ring with identity and $ M $ be an $ R $-module. The main
purpose of this paper is to introduce and investigate the notion of classical and strongly …

Fully prime rings (in which every proper ideal is prime) have been studied by Blair and
Tsutsui, and fully semiprime rings (in which every proper ideal is semiprime) have been …

Primary-like and weakly primary-like submodules are two new generalizations of primary
ideals from rings to modules. In fact, the class of primary-like submodules of a module lie …

Full article: Coherent rings and absolutely pure precovers Skip to Main Content Taylor and
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In this paper the n--injective (pre) envelopes and the n--projective (pre) covers are
investigated, which generalize and include some known envelopes and covers. Various …

The submodules with the property of the title (N⊆ M is strongly essential in M if∏ IN is
essential in∏ IM for any index set I) are introduced and fully investigated. It is shown that for …

Let R be a commutative ring with identity and let M be a unitary R-module. A proper
submodule N of an R-module M will be called almost 2-absorbing submodule if a, b∈ R and …

Abstract We present $* $-primary submodules, a generalization of the concept of primary
submodules of an $ R $-module. We show that every primary submodule of a Noetherian …