The singular ideal and radicals

Miguel Ferrero
Instituto de Matemática
Universidade Federal do Rio Grande do Sul
91509-900 Porto Alegre
Brazil
email: ferrero@mat.ufrgs.br
and
Edmund R. Puczyowski
Institute of Mathematics
University of Warsaw
02-097 Warsaw, Banacha 2
Poland
email: edmundp@mimuw.edu.pl

Abstract:

Some properties of the singular ideal are established. In particular its behaviour when passing to one-sided ideals is studied. Obtained results are applied to study some radicals related to the singular ideal. In particular a radical S such that for every ring R, S(R) and R/S(R) are close to being a singular ring and a non-singular ring, respectively, is constructed.

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© Copyright 1998, Australian Mathematical Society