Abstract
A ring A is prime essential if A is semiprime and every prime ideal of A has a nonzero intersection with each nonzero ideal of A. We prove that any radical (other than the Baer's lower radical) whose semisimple class contains all prime essential rings is not special. This yields non-speciality of certain known radicals and answers some open questions.
Publisher
Cambridge University Press (CUP)
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3. A radical determined by a class of almost nilpotent rings
Cited by
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