<abstract xmlns="http://www.w3.org/1999/xhtml"><p> On a commutative ring R we study outer measures induced by measures on Spec(R). The focus is on examples of such outer measures and on subsets of R that satisfy the Carathéodory condition.</p></abstract>

On a commutative ring R we study outer measures induced by measures on Spec(R). The focus is on examples of such outer measures and on subsets of R that satisfy the Carathéodory condition.

Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum"}

On a commutative ring R we study outer measures induced by measures on Spec(R). The focus is on examples of such outer measures and on subsets of R that...

Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum

Published Online: Sep 13, 2017

Page range: 63 - 70

Received: Aug 03, 2016

Accepted: Nov 18, 2016

DOI: https://doi.org/10.1515/amsil-2016-0020

Keywords
outer measure, commutative ring, prime ideal, Carathéodory’s condition, ring of functions, unique factorization domain

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum

Published Online: Sep 13, 2017

Page range: 63 - 70

Received: Aug 03, 2016

Accepted: Nov 18, 2016

DOI: https://doi.org/10.1515/amsil-2016-0020

Keywordsouter measure, commutative ring, prime ideal, Carathéodory’s condition, ring of functions, unique factorization domain

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
outer measure, commutative ring, prime ideal, Carathéodory’s condition, ring of functions, unique factorization domain