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A Characterization of Left Perfect Rings

Published online by Cambridge University Press:  20 November 2018

Yiqiang Zhou
Yiqiang Zhou*
Affiliation:
Mathematics Department, University of British Columbia, Vancouver, British Columbia, V6T 1Z2
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Abstract

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In this note, we show that a ring R is a left perfect ring if and only if every generating set of each left R-module contains a minimal generating set. This result gives a positive answer to a question on left perfect rings raised by Nashier and Nichols.

Keywords

16L30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 382 - 384
Copyright
Copyright © Canadian Mathematical Society 1995

References

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