Structure of compact alternative and Jordan rings. (Russian) Zbl 0608.17012

Slin’ko, A. M.

Mat. Sb., N. Ser. 129(171), No. 3, 378-385 (1986).

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.

Reviewer: V. I. Arnautov (Kishinev)

MSC:

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

Keywords:

compact alternative rings; compact Jordan rings; quasiregular radical