More properties inherited by the lower radical-Reference-Cited by-同舟云学术

More properties inherited by the lower radical

Published:1972 Issue:2 Volume:33 Page:247-249
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Rossa R. F.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-033-02/S0002-9939-1972-0296117-8/S0002-9939-1972-0296117-8.pdf

Reference4 articles.

1. A general theory of radicals. II. Radicals in rings and bicategories;Amitsur, S. A.;Amer. J. Math.,1954

2. Lower radical properties for associative and alternative rings;Suliński, A.;J. London Math. Soc.,1966

3. Properties inherited by the lower radical;Hoffman, A. E.;Portugal. Math.,1968

4. Lower radicals in nonassociative rings;Tangeman, R.;J. Austral. Math. Soc.,1972

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