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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

More properties inherited by the lower radical


Author: R. F. Rossa
Journal: Proc. Amer. Math. Soc. 33 (1972), 247-249
MSC: Primary 17A99; Secondary 16A21
MathSciNet review: 0296117
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Abstract: Various properties possessed by a class M of not necessarily associative rings are inherited by the lower radical LM, including heredity to one-sided ideals or subrings, failure to contain nonzero noetherian rings and, in the associative case, failure to contain nonzero artinian rings.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0296117-8
Keywords: Radical classes, hereditary radicals, lower radicals
Article copyright: © Copyright 1972 American Mathematical Society