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

Dariusz Dudzik; Marcin Skrzynski

Annales Mathematicae Silesianae (2017)

  • Volume: 31, Issue: 1, page 63-70
  • ISSN: 0860-2107

Abstract

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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.

How to cite

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Dariusz Dudzik, and Marcin Skrzynski. "Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum." Annales Mathematicae Silesianae 31.1 (2017): 63-70. <http://eudml.org/doc/288518>.

@article{DariuszDudzik2017,
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.},
author = {Dariusz Dudzik, Marcin Skrzynski},
journal = {Annales Mathematicae Silesianae},
keywords = {outer measure; commutative ring; prime ideal; Carathéodory’s condition; ring of functions; unique factorization domain},
language = {eng},
number = {1},
pages = {63-70},
title = {Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum},
url = {http://eudml.org/doc/288518},
volume = {31},
year = {2017},
}

TY - JOUR
AU - Dariusz Dudzik
AU - Marcin Skrzynski
TI - Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum
JO - Annales Mathematicae Silesianae
PY - 2017
VL - 31
IS - 1
SP - 63
EP - 70
AB - 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.
LA - eng
KW - outer measure; commutative ring; prime ideal; Carathéodory’s condition; ring of functions; unique factorization domain
UR - http://eudml.org/doc/288518
ER -

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