The Prime Spectra of Regular Rings

The Prime Spectra of Regular Rings

In this work, we study the prime spectrum of regular rings. Also we study some topological concepts as quasi-compact, compact, totally disconnected, and irreducible topological space in order to prove some new results on the prime spectrum of regular ring.

Bibliographic Details
Main Authors: Nazar Shuker, Abdul Mohammad, Huda Khalil
Format: Article
Language:Arabic
Published: Mosul University 2007-07-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
prime ideals
prime spectrum
zariski topology
open sets
Online Access:https://csmj.mosuljournals.com/article_163999_8cbef4f18299d961c66665de91e4227f.pdf
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spelling doaj-07a335ea1f964a3b87c1fc273edbb64d2020-11-25T04:09:01ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902007-07-01419510610.33899/csmj.2007.163999163999The Prime Spectra of Regular RingsNazar Shuker0Abdul Mohammad1Huda Khalil2College of Computer sciences and MathematicsCollege of Education University of Mosul, IraqCollege of Basic EducationIn this work, we study the prime spectrum of regular rings. Also we study some topological concepts as quasi-compact, compact, totally disconnected, and irreducible topological space in order to prove some new results on the prime spectrum of regular ring.https://csmj.mosuljournals.com/article_163999_8cbef4f18299d961c66665de91e4227f.pdfprime idealsprime spectrumzariski topologyopen sets
collection DOAJ
language Arabic
format Article
sources DOAJ
author Nazar Shuker
Abdul Mohammad
Huda Khalil
spellingShingle Nazar Shuker
Abdul Mohammad
Huda Khalil
The Prime Spectra of Regular Rings
Al-Rafidain Journal of Computer Sciences and Mathematics
prime ideals
prime spectrum
zariski topology
open sets
author_facet Nazar Shuker
Abdul Mohammad
Huda Khalil
author_sort Nazar Shuker
title The Prime Spectra of Regular Rings
title_short The Prime Spectra of Regular Rings
title_full The Prime Spectra of Regular Rings
title_fullStr The Prime Spectra of Regular Rings
title_full_unstemmed The Prime Spectra of Regular Rings
title_sort prime spectra of regular rings
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2007-07-01
description In this work, we study the prime spectrum of regular rings. Also we study some topological concepts as quasi-compact, compact, totally disconnected, and irreducible topological space in order to prove some new results on the prime spectrum of regular ring.
topic prime ideals
prime spectrum
zariski topology
open sets
url https://csmj.mosuljournals.com/article_163999_8cbef4f18299d961c66665de91e4227f.pdf
work_keys_str_mv AT nazarshuker theprimespectraofregularrings
AT abdulmohammad theprimespectraofregularrings
AT hudakhalil theprimespectraofregularrings
AT nazarshuker primespectraofregularrings
AT abdulmohammad primespectraofregularrings
AT hudakhalil primespectraofregularrings
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