caa a22 4500 38804697X CHVBK 20180307125040.0 cr unu---uuuuu 161130e199804 xx s 000 0 eng 10.1017/S1446788700001695 doi S1446788700001695 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700001695 The singular ideal and radicals [Elektronische Daten] 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. Copyright © Australian Mathematical Society 1998 Primary 16D80 nationallicence 16N60 nationallicence 16N80 nationallicence singular ideal nationallicence radical classes nationallicence Ferrero Miguel E-mail: ferrero@mat.ufrgs.br Puczyłowski Edmund R. Institute of Mathematics University of Warsaw 02-097 Warsaw, Banacha 2 Poland email: edmundp@mimuw.edu.p1 Journal of the Australian Mathematical Society Cambridge University Press 64/2(1998-04), 195-209 1446-7887 64:2<195 1998 64 JAZ https://doi.org/10.1017/S1446788700001695 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700001695 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ferrero Miguel E-mail: ferrero@mat.ufrgs.br NATIONALLICENCE 700 1- Puczyłowski Edmund R. Institute of Mathematics University of Warsaw 02-097 Warsaw, Banacha 2 Poland email: edmundp@mimuw.edu.p1 NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 64/2(1998-04), 195-209 1446-7887 64:2<195 1998 64 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge