An outer measure on a commutative ring
Algebra and discrete mathematics, Tome 21 (2016) no. 1, pp. 51-58
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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.
@article{ADM_2016_21_1_a4,
author = {Dariusz Dudzik and Marcin Skrzy\'nski},
title = {An outer measure on a commutative ring},
journal = {Algebra and discrete mathematics},
pages = {51--58},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2016_21_1_a4/}
}
Dariusz Dudzik; Marcin Skrzyński. An outer measure on a commutative ring. Algebra and discrete mathematics, Tome 21 (2016) no. 1, pp. 51-58. http://geodesic.mathdoc.fr/item/ADM_2016_21_1_a4/