This article is cited in 2 papers

RESEARCH ARTICLE

An outer measure on a commutative ring

Dariusz Dudzik^a, Marcin Skrzyński<sup>b

a</sup> Institute of Mathematics, Pedagogical University of Cracow, ul. Podchorążych 2, 30-084 Kraków, Poland
^b Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

Abstract: 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.

Keywords: outer measure, measure, commutative ring, prime ideal.

MSC: 13A15, 28A12

Received: 15.10.2015
Revised: 05.01.2016

Language: English

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