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Integration of mappings of half-ordered rings

Lebesgue type integrals of mappings f: E → X, where X is a semiordered ring and E ⊂R, over a measure with values lying in X are studied. Usual properties of the integral are proved, including theorems on limits under the integral as well as those on absolute continuity and complete additivity of the...

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Bibliographic Details
Date:	1992
Main Authors:	Sobolev , V. I., Shcherbin , V. M., Соболев , В. И., Щербин , В. М.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7897
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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