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.
@article{bwmeta1.element.doi-10_1515_amsil-2016-0020, author = {Dariusz Dudzik and Marcin Skrzynski}, title = {Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum}, journal = {Annales Mathematicae Silesianae}, volume = {31}, year = {2017}, pages = {63-70}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0020} }
Dariusz Dudzik; Marcin Skrzynski. Outer Measures on a Commutative Ring Induced by Measures on Its Spectrum. Annales Mathematicae Silesianae, Tome 31 (2017) pp. 63-70. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0020/