Let R be a commutative ring and M an R-module. The purpose of this article is to introduce a
new class of modules over R called X-injective R-modules, where X is the prime spectrum of …

On the spectrum of a module over a commutative ring Page 1 COMMUNICATIONS IN ALGEBRA,
25(1), 79-103 (1997) ON THE SPECTRUM OF A MODULE OVER A COMMUTATIVE RING …

The subject of this paper is the Zariski topology on a multiplication module $ M $ over a
commutative ring $ R $. We find a characterization for the radical submodule $ rad_ {M}(0) …

Let R be a commutative ring and M be an R-module. The second spectrum Spec s (M) of M
is the collection of all second submodules of M. We topologize Spec s (M) with Zariski …

Let R be a commutative ring and let M be a top R-module. In this article, we investigate some
properties of a new class of modules, called strongly top modules. Studying of this family …

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 identity and let M be an R-module. A proper submodule P
of M is called a classical prime submodule if abm∈ P for a, b∈ R, and m∈ M, implies that …

Inspired by the interplay between the Zariski topology defined on the prime spectrum of a
commutative ring R and the ring theoretic properties of R in [3, 8, 18, 23, 25], we introduce in …

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 R be a commutative ring with identity and let M be an R-module. A proper submodule P
of M is called a classical prime submodule if abm Î P for a, b Î R, and m Î M, implies that am Π…