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Mat. Sb. (N.S.), 1986 Volume 129(171), Number 3, Pages 378–385 (Mi sm1833)

This article is cited in 1 paper

The structure of alternative and Jordan compact rings

A. M. Slin'ko


Abstract: The author develops the structure theory of alternative and Jordan compact rings, and proves that in such rings the quasiregular radical in the strong sense is topologically nilpotent, and the quotient ring by this radical is isomorphic to a full direct sum of finite prime fields with the Tikhonov topology.
Bibliography: 11 titles.

UDC: 512.5

MSC: Primary 17D15, 17C10; Secondary 17D05, 17C05

Received: 27.01.1985


 English version:
Mathematics of the USSR-Sbornik, 1987, 57:2, 391–398

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