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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1983 Volume 121(163), Number 1(5), Pages 40–47 (Mi sm2152)

This article is cited in 3 papers

On Jordan algebras that are solvable of index 2

S. R. Sverchkov


Abstract: Suppose $\Phi$ is a commutative associative ring containing $1/2$. It is shown that any solvable Jordan algebra of index 2 over $\Phi$ is special. Solvable Jordan algebras of index 3 need not be special.
Bibliography: 6 titles.

UDC: 519.48

MSC: Primary 17C50; Secondary 16A68

Received: 02.12.1981


 English version:
Mathematics of the USSR-Sbornik, 1984, 49:1, 41–48

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