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Unequivocal Rings

Published online by Cambridge University Press:  20 November 2018

N. Divinsky
N. Divinsky*
Affiliation:
University of British Columbia, Vancouver, British Columbia; University of London-Queen Mary College, London, England
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For any radical property Q, a nonzero simple ring (all rings in this paper are assumed to be associative) must make up its mind so to speak and must be either Q radical or Q semi-simple. Every Q thus divides the class of all nonzero simple rings into two disjoint classes. Conversely any partition of the nonzero simple rings into two disjoint classes leads to at least two radicals [1, p. 16].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 3 , 01 June 1975 , pp. 679 - 690
Copyright
Copyright © Canadian Mathematical Society 1975

References

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