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

Let R be a commutative ring with identity and let M be a unitary left R-module. The purpose
of this paper is to investigate some new results (up to our knowledge) on the concept of semi …

Let be a commutative ring with identity and let be an R-module. We call an R-submodule of
as P-essential if for each nonzero prime submodule of and 0. Also, we call an R-module as …

This article introduces the concept of S‐semiprime submodules which are a generalization
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …

Let be a commutative ring with identity and a fixed ideal of and be an unitary-module. We
say that a proper submodule of is-semi prime submodule if with. In this paper, we investigate …

Let R be a commutative ring with identity and M a unitary R-module. Some properties of
prime submodules of an R-module M have been discussed. In this paper, we investigate the …

We have introduced the notion of $\alpha $-prime and weakly $\alpha $-prime submodules
as a generalization of prime submodules. Some basic properties of $\alpha $-prime and …

Let R be a commutative ring with identity and M a unitary R-module. The concept of PRIME
SUBMODULE of an R-module M has been discussed. In this paper, we investigate the …

Acta Mathematica Academiae Paedagogicae Nyıregyháziensis 33 (2017), 165–173 www.emis.de/journals
ISSN 1786-0091 I-PRIME SUBM Page 1 Acta Mathematica Academiae Paedagogicae …