Title : ( Primary zariski topology on the primary spectrum of a module )
Authors: Homa Bijari , Kazem Khashyarmanesh , Hosein Fazaeli ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
Let R be a commutative ring with identity and let M be an R-module. We define the primary spectrum of M, denoted by PS(M), to be the set of all primary submodules Q of M such that (radQ : M) =(Q : M). In this paper, we topologize PS(M) with a topology having the Zariski topology on the prime spectrum Spec(M) as a subspace topology. We investigate compactness and irreducibility of this topological space and provide some conditions under which PS(M) is a spectral space.
Keywords
, Primary spectrum, primary Zariski topology, primary submodule, prime ideal.
@article{paperid:1083415,
author = {Bijari, Homa and Khashyarmanesh, Kazem and Hosein Fazaeli},
title = {Primary zariski topology on the primary spectrum of a module},
journal = {Journal of Algebraic Systems},
year = {2020},
volume = {8},
number = {1},
month = {May},
issn = {2345-5128},
pages = {53--68},
numpages = {15},
keywords = {Primary spectrum; primary Zariski topology; primary submodule; prime ideal.},
}
%0 Journal Article
%T Primary zariski topology on the primary spectrum of a module
%A Bijari, Homa
%A Khashyarmanesh, Kazem
%A Hosein Fazaeli
%J Journal of Algebraic Systems
%@ 2345-5128
%D 2020
