An R-module M is called semiprime if it is cogenerated by each of its essential submodules.
We investigate when a semiprime module M has the property that for every non-zero …

Modules in which every proper submodule (resp. proper nonzero submodule) is prime
(called fully prime (almost fully prime)) and with some other related notions are fully …

Let R be a commutative ring with identity. For t∈ N, a proper submodule N of an R-module
M is called a t-prime submodule if rm∈ N (r∈ R, m∈ M), then m∈ N or rt∈(N: RM). We …

Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let (M) be
the set of all submodules of M, and φ:(M)→(M)∪{∅} be a function. We say that a proper …

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …

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, the authors give a partial characterization of invertible, dense and projective
submodules. In the final section, they give the equivalent conditions to be invertible, dense …

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 paper, we state a number of results about associated and supported prime ideals and
prime submodules, respectively, and then we study these results about multiplication and …