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An outer measure on a commutative ring

An outer measure on a commutative ring

We show how to produce a reasonable outer measure on a commutative ring from a given measure on a family of prime ideals of this ring. We provide a few examples and prove several properties of such outer measures.

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Bibliographic Details
Main Authors: Dudzik, Dariusz, Skrzyński, Marcin
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
Subjects:
outer measure; measure; commutative ring; prime ideal
13A15; 28A12
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/161
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id oai:ojs.admjournal.luguniv.edu.ua:article-161
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-1612016-05-11T05:58:07Z An outer measure on a commutative ring Dudzik, Dariusz Skrzyński, Marcin outer measure; measure; commutative ring; prime ideal 13A15; 28A12 We show how to produce a reasonable outer measure on a commutative ring from a given measure on a family of prime ideals of this ring. We provide a few examples and prove several properties of such outer measures. Lugansk National Taras Shevchenko University 2016-05-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/161 Algebra and Discrete Mathematics; Vol 21, No 1 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/161/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/161/69 Copyright (c) 2016 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic outer measure; measure; commutative ring; prime ideal
13A15; 28A12
spellingShingle outer measure; measure; commutative ring; prime ideal
13A15; 28A12
Dudzik, Dariusz
Skrzyński, Marcin
An outer measure on a commutative ring
topic_facet outer measure; measure; commutative ring; prime ideal
13A15; 28A12
format Article
author Dudzik, Dariusz
Skrzyński, Marcin
author_facet Dudzik, Dariusz
Skrzyński, Marcin
author_sort Dudzik, Dariusz
title An outer measure on a commutative ring
title_short An outer measure on a commutative ring
title_full An outer measure on a commutative ring
title_fullStr An outer measure on a commutative ring
title_full_unstemmed An outer measure on a commutative ring
title_sort outer measure on a commutative ring
description We show how to produce a reasonable outer measure on a commutative ring from a given measure on a family of prime ideals of this ring. We provide a few examples and prove several properties of such outer measures.
publisher Lugansk National Taras Shevchenko University
publishDate 2016
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/161
work_keys_str_mv AT dudzikdariusz anoutermeasureonacommutativering
AT skrzynskimarcin anoutermeasureonacommutativering
AT dudzikdariusz outermeasureonacommutativering
AT skrzynskimarcin outermeasureonacommutativering
first_indexed 2024-04-12T06:25:12Z
last_indexed 2024-04-12T06:25:12Z
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