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Ring Theory Session of the fourth joint meeting of the American Mathematical Society and the Sociedad Matematica Mexicana
May 19-22, 1999
University of North Texas
Denton, TX, USA

Organizers
Ricardo Alfaro, Carlos Signoret, Sergio R. Lopez-Permouth

View Abstracts

Symmetric radicals over Noetherian rings
by
Karl A. Kosler
University of Wisconsin-Waukesha

Symmetric radicals over Noetherian rings are characterized in terms of stable torsion radicals, link closure of special classes of prime ideals and multiplicative properties of certain classes of two-sided ideals. Applications to weakly symmetric radicals are given. For example, over a polycentral Noetherian ring, any weakly symmetric radical is symmetric. For certain radicals, this result can be extended to polynormal Noetherian rings. Using a torsion radical defined in terms of Krull dimension, it is shown that a weakly Krull symmetric polynormal Noetherian ring is Krull symmetric.

Date received: March 23, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabz-11.