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.

Saved in:
Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2016
Main Authors: Dudzik, D., Skrzyński, M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2016
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/155199
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:An outer measure on a commutative ring / D. Dudzik, M. Skrzyński // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 51-58. — Бібліогр.: 3 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-155199
record_format dspace
spelling Dudzik, D.
Skrzyński, M.
2019-06-16T10:48:33Z
2019-06-16T10:48:33Z
2016
An outer measure on a commutative ring / D. Dudzik, M. Skrzyński // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 51-58. — Бібліогр.: 3 назв. — англ.
1726-3255
2010 MSC:13A15, 28A12.
https://nasplib.isofts.kiev.ua/handle/123456789/155199
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
An outer measure on a commutative ring
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title An outer measure on a commutative ring
spellingShingle An outer measure on a commutative ring
Dudzik, D.
Skrzyński, M.
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
author Dudzik, D.
Skrzyński, M.
author_facet Dudzik, D.
Skrzyński, M.
publishDate 2016
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
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.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/155199
fulltext
citation_txt An outer measure on a commutative ring / D. Dudzik, M. Skrzyński // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 51-58. — Бібліогр.: 3 назв. — англ.
work_keys_str_mv AT dudzikd anoutermeasureonacommutativering
AT skrzynskim anoutermeasureonacommutativering
AT dudzikd outermeasureonacommutativering
AT skrzynskim outermeasureonacommutativering
first_indexed 2025-11-24T12:54:40Z
last_indexed 2025-11-24T12:54:40Z
_version_ 1850846751573934080