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JOURNALS // Matematicheskie Zametki // Archive

Mat. 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.

UDC: 519

Received: 25.09.1975


 English version:
Mathematical Notes, 1977, 21:6, 477–481

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