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Structure of compact alternative and Jordan rings. (Russian) Zbl 0608.17012
The main results of the structure theory of compact associative rings are carried over to compact alternative and compact Jordan rings. In particular, it is shown that if \(K\) is an alternative or Jordan ring, then its quasiregular radical \(J(K)\) is a closed topologically nilpotent ideal and \(K/J(K)\) is a direct product of simple finite rings of Tikhonov topology.

MSC:
17C50 Jordan structures associated with other structures
17D05 Alternative rings
22A99 Topological and differentiable algebraic systems
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