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Absolute zero divisors in Jordan pairs and Lie algebras

E. I. Zel'manov


Abstract: The following theorem is proved.
Theorem. A Lie algebra over a ring $\Phi\ni1/6,$ generated by a finite set of elements of second order$,$ is nilpotent.
Bibliography: 6 titles.

UDC: 519.46

MSC: 17C50, 17B30

Received: 05.03.1980

 English version: Mathematics of the USSR-Sbornik, 1981, 40:4, 549–565

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