Dariusz Dudzik, Marcin Skrzyński, “An outer measure on a commutative ring”, Algebra Discrete Math., 2016, том 21, выпуск 1,страницы 51

Эта публикация цитируется в 2 статьях

RESEARCH ARTICLE

An outer measure on a commutative ring

Dariusz Dudzik^a, Marcin Skrzyński^b

^a Institute of Mathematics, Pedagogical University of Cracow, ul. Podchorążych 2, 30-084 Kraków, Poland
^b Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

Аннотация: 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.

Ключевые слова: outer measure, measure, commutative ring, prime ideal.

MSC: 13A15, 28A12

Поступила в редакцию: 15.10.2015
Исправленный вариант: 05.01.2016

Язык публикации: английский