Journal of the Australian Mathematical Society - Series A Vol. 64 Part 2 (1998) 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. PDF file size: 100K © Copyright 1998, Australian Mathematical Society