The singular ideal and radicals

The singular ideal and radicals

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...

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Veröffentlicht in:Journal of the Australian Mathematical Society (2001) 1998-04, Vol.64 (2), p.195-209
Hauptverfasser: Ferrero, Miguel, Puczyłowski, Edmund R.
Format: Artikel
Sprache:eng
Schlagworte:
16N60
16N80
Primary 16D80
radical classes
singular ideal
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Beschreibung
Zusammenfassung: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.
ISSN:0263-6115
1446-7887
1446-8107
DOI:10.1017/S1446788700001695