J Austral Math Soc Ser A 56 pp314--319, 1994.

On Questions of B. J. Gardener and A. D. Sands

K. I. Beidar

(Received 15 January 1991; revised 31 January 1992)

Abstract

An example of two disjoint special classes whose upper radicals coincide is presented. It is shown that the left hereditary subradical of the hereditary idempotent radical is right hereditary. An example of a hereditary and principally left hereditary radical which is not left hereditary is constructed.

1991 AMS Subject Classification: 16N80

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Authors

K. I. Beidar: Depatment of Algebra, Moscow State University, 117234 Moscow, USSR.

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Last Modified: Fri Jan 10 8:53:40 2003