This article is cited in 37 papers

Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebra

E. I. Zel'manov, I. P. Shestakov


Abstract: A classification is given of the prime alternative superalgebras. It is shown that the radical of a free alternative algebra over a field of zero characteristic is nilpotent.

UDC: 512.554.5

MSC: Primary 17D05; Secondary 17A70

Received: 17.11.1988

 English version: Mathematics of the USSR-Izvestiya, 1991, 37:1, 19–36

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