TORSION MODULES AND SPECTRAL SPACES 1. Introduction Throughout the article, R is
a commutative ring with a nonzero identity and Page 1 Commun. Korean Math. Soc. 34 (2019) …

On the prime spectrum of top modules Page 1 Algebra and Discrete Mathematics RESEARCH
ARTICLE Volume 11 (2011). Number 1. pp. 1 – 16 c Journal “Algebra and Discrete Mathematics” …

Prime Submodules and Spectral Spaces Page 1 •First •Prev •Next •Last •Go Back •Full Screen
•Close •Quit Prime Submodules and Spectral Spaces D. Hassanzadeh-lelekaami University of …

TOPOLOGICAL DIMENSION OF PSEUDO-PRIME SPECTRUM OF MODULES 1. Introduction
Throughout the paper, all rings are commutative with i Page 1 Commun. Korean Math. Soc. 32 …

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 let M be an R-module. Let X= Spec (M) be the prime
spectrum of M with Zariski topology. Our main purpose in this paper is to specify the …

Let R be a commutative ring with identity and M be a unital R-module. The primary-like
spectrum SpecL (M) is the collection of all primary-like submodules Q of M such that M/Q is a …

In this paper we introduce and study the left spectrum and the torsion-theoretic spectrum of
modules and establish some connections between them. In particular, the fact that for a …

Let $ R $ be a commutative ring and let $ M $ be an $ R $-module. In this article, we
introduce the concept of the Zariski socles of submodules of $ M $ and investigate their …

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 …