This article is cited in 1 paper

Associative rings the radicals over which are subrings

Yu. N. Mal'tsev

Institute of Mathematics, Siberian Branch of the Academy of Sciences of the SSSR

Abstract: The paper studies the structure of algebras which are radicals over $PI$-subalgebras. In particular, a theorem is proven to the effect that an algebra without nil-ideals which is a radical over a right $PI$-ideal is a $PI$-algebra.

UDC: 513.83

Received: 30.11.1970

 English version: Mathematical Notes, 1972, 11:1, 24–28

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