An outer measure on a commutative ring

• 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
• 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.

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.