Outer measures on a commutative ring induced by measures on its spectrum

Dariusz Dudzik; Marcin Skrzyński

Published: 2017-02-07

Vol. 31 (2017)

Outer measures on a commutative ring induced by measures on its spectrum

Dariusz Dudzik , Marcin Skrzyński

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.

Keywords:

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

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Dudzik, D., & Skrzyński, M. (2017). Outer measures on a commutative ring induced by measures on its spectrum. Annales Mathematicae Silesianae, 31, 63–70. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13939

Dariusz Dudzik

Affiliation:

Instytut Matematyki, Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie Poland

Marcin Skrzyński

pfskrzyn@cyf-kr.edu.pl

Affiliation:

Instytut Matematyki, Politechnika Krakowska Poland

Vol. 31 (2017)
Published: 2017-09-13

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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Outer measures on a commutative ring induced by measures on its spectrum

Abstract

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