Let R be a commutative ring with nonzero identity. Our objective is to investigate
representable modules and to examine in particular when submodules of such modules are …

Let R be a commutative ring and let M be an R-module with the property that its zero
submodule has a primary decomposition. Let E be an injective R-module with W. Ass R (E) …

‎ Let $ R $ be a commutative ring with identity‎,‎ $ S $ a multiplicatively closed subset of $ R $‎,‎
and $ M $ be an $ R $-module‎.‎ The goal of this work is to introduce the notion of $ S $-pure …

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 …

In this article, we define almost prime submodules as a new generalization of prime and
weakly prime submodules of unitary modules over a commutative ring with identity. We …

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 {\it classical primary submodule}, if for each …

On Weakly Primary Submodules Page 1 Journal of Al Azhar University-Gaza (Natural
Sciences), 2011, 13 : 31-40 http://www.alazhar.edu.ps/journal123/natural_Sciences.asp?typeno=1 …

In this paper, we study the primal submodules of a module over a commutative ring with non-
zero identity. We generalize the primal decomposition of ideals (see [2]) to that of …

Let R be a commutative ring and M an R-module. In this paper, we study the dual notion of
prime submodules (that is, second submodules of M) and investigate the conditions under …

When an Irreducible Submodule is Primary 1 Introduction Page 1 International Journal of
Algebra, Vol. 2, 2008, no. 20, 995 - 998 When an Irreducible Submodule is Primary A …