J Austral Math Soc Ser A 51 pp62--72, 1991.

Hereditary Radicals and Bands of Associative Rings

A. V. Kelarev

(Received 18 June 1989; revised 7 February 1990)

Abstract

Bands of associative rings were introduced in 1973 by Weissglass. For the radicals playing the most essential roles in the structure theory (in particular, for those of Jacobson, Baer, Levitsky, Koethe) it is shown how to find the radical of a band of rings. The technique of the general Kurosh-Amitsur radical theory is used to consider many radicals simultaneously.

1980 AMS Subject Classification (1985 Revision): 16A21, 20M25

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Authors

A. V. Kelarev: Department of Mathematics, Ural State University, Lenina 51, Sverdlovsk, USSR 620083.

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Last Modified: Mon Feb 3 9:46:10 2003