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Matematicheskie Zametki, 1977, Volume 21, Issue 6, Pages 847–854 (Mi mzm8015)  

Finitely additive set functions into a topological group

V. M. Klimkin

Kuibyshev State University
Abstract: The properties of finitely additive set functions defined on a ring $S$ with values in an Abelian topological group are studied. In particular, a condition under which the property of uniform absence of the escaping load (UAEL) is preserved under the extension of a set function from a ring $R$ to an extending ring $S\supset R$ is established.
Received: 25.09.1975
English version:
Mathematical Notes, 1977, Volume 21, Issue 6, Pages 477–481
DOI: https://doi.org/10.1007/BF01410178
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. M. Klimkin, “Finitely additive set functions into a topological group”, Mat. Zametki, 21:6 (1977), 847–854; Math. Notes, 21:6 (1977), 477–481
Citation in format AMSBIB
\Bibitem{Kli77}
\by V.~M.~Klimkin
\paper Finitely additive set functions into a~topological group
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 6
\pages 847--854
\mathnet{http://mi.mathnet.ru/mzm8015}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=466483}
\zmath{https://zbmath.org/?q=an:0398.28013|0372.28007}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 6
\pages 477--481
\crossref{https://doi.org/10.1007/BF01410178}
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