Proposition 5.2 (3) and its result Proposition 6.3 in the published version [1] are incorrect.
The original Proposition 5.2 (3) in [1] states: For a module M over a ring R, let P be an …

X PREFACE in different branches of computer sciences. In Chapter 5, I have touched upon
recent generalizations of some results of rings to semirings. Some other informations about …

Let M be a non-zero module over an associative (not necessarily commutative) ring. In this
paper, we investigate the so-called second and coprime submodules of M. Moreover, we …

Let M be a module over a commutative ring R. A submodule P of M is called prime if P≠ M
and, whenever r∈ R, e∈ M, and re∈ P, we have rM⊆ P or e∈ P. We let Spec (M) denote …

Let R be a commutative ring with identity, and let M be an R-module. There are different
Zariski topologies defined on the prime spectrum Spec (M). In this article, we will determine …

Let R be a commutative ring with nonzero identity and M be an R-module. In this paper, first
we give some relations between S-prime and S-maximal submodules that are …

We introduce a dual Zariski topology on the spectrum of fully coprime R-submodules of a
given duo module M over an associative (not necessarily commutative) ring R. This topology …

Given a duo module M over an associative (not necessarily commutative) ring R, a Zariski
topology is defined on the spectrum Specfp (M) of fully prime R-submodules of M. We …

Full article: Prime Submodules and a Sheaf on the Prime Spectra of Modules Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

=  . If =  } Page 1 IJST (2013) 37A3 (Special issue-Mathematics): 411-420 Iranian Journal of
Science & Technology http://ijsts.shirazu.ac.ir Graded prime spectrum of a graded module NA …