THE SINGULAR IDEAL AND RADICALS

Authors
FERRERO M PUCZYLOWSKI ER
Citation
M. Ferrero et Er. Puczylowski, THE SINGULAR IDEAL AND RADICALS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 64, 1998, pp. 195-209
Citations number
17
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
64
Year of publication
1998
Part
2
Pages
195 - 209
Database
ISI
SICI code
0263-6115(1998)64:<195:TSIAR>2.0.ZU;2-D
Abstract
Some properties of the singular ideal are established. In particular i ts behaviour when passing to one-sided ideals is studied. Obtained res ults 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 RIS(R) are close to being a singular ring and a non-singular ring, respectiv ely, is constructed.