The singular ideal and radicals-Reference-Cited by-同舟云学术

The singular ideal and radicals

Published:1998-04 Issue:2 Volume:64 Page:195-209
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Ferrero Miguel,Puczyłowski Edmund R.

Abstract

AbstractSome 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference17 articles.

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