Geodesic
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. 
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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/

[1] M. F. Atiyah, I. G. MacDonald, Introduction to Commutative Algebra, Westview Press, 1994 | MR

[2] H. Federer, Geometric Measure Theory, Springer, 1969 | MR | Zbl

[3] W. Rudin, Functional Analysis, McGraw-Hill, 1991 | MR | Zbl