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Varieties and $Z_2$-graded algebras

A. R. Kemer


Abstract: A structure theory of varieties of associative algebras over a field of characteristic zero is constructed. It is shown that any variety is a product of a nilpotent and a semiprime variety. The semiprime varieties are described.
Bibliography: 10 titles.

UDC: 512

MSC: Primary 16A48, 16A03; Secondary 16A22, 16A12

Received: 15.02.1982

 English version: Mathematics of the USSR-Izvestiya, 1985, 25:2, 359–374

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