Spectral spaces are a class of topological spaces. They are a tool linking algebraic
structures, in a very wide sense, with geometry. They were invented to give a functional …

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 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 …

In this paper we continue our study of classical Zariski topology of modules, that was
introduced in Part I (see [2]). For a left R-module M, the prime spectrum Spec (RM) of M is …

Let R be an associative ring with identity and Specs (M) denote the set of all second
submodules of a right R-module M. In this paper, we investigate some interrelations …

We establish conditions for Spec (M) to be Noetherian and spectral space, wrt different
topologies. We used rings with Noetherian spectrum to produce plentiful examples of …

Let R be a commutative ring and M an R-module. Let Spec^ s (M) S pecs (M) be the
collection of all second submodules of M. In this article, we consider a new topology on …

The second spectrum Specs (M) is the collection of all second elements of M. In this paper,
we study the topology on Specs (M), which is a generalization of the Zariski topology on the …

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 …

Let R be a commutative ring with identity and Spec^ s (M) Spec s (M) denote the set all
second submodules of an R-module M. In this paper, we investigate various properties of …