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Strong Radical Classes and Idempotents

Published online by Cambridge University Press:  20 November 2018

Patrick N. Stewart
Patrick N. Stewart*
Affiliation:
Dalhousie University, Halifax Nova Scotia
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All rings are associative but do not necessarily have identities. Definitions and basic results about radical classes can be found in [2]. A radical class is strong [3] if for every ring A, (A) contains all left and right -ideals of A.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975, pp. 723 - 725
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Anderson, T., A note on strong radicals, Acta Math. Acad. Sci. Hung. 25 (1974), 5-6.Google Scholar
2. Divinsky, N., Rings and radicals, University of Toronto Press, 1965.Google Scholar
3. Divinsky, N., Krempa, J. and Sulinski, A., Strong radical properties of alternative and associative rings, J. Alg. 17 (1971), 369-388.Google Scholar
4. Rosa, R.F., More properties inherited by the lower radical, Proc. Amer. Math. Soc. 33 (1972), 247-249.Google Scholar