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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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2016
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/161 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-161 |
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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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1796109231128051712 |