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Original Articles

Corner Rings of a Clean Ring Need Not be Clean

Pages 1595-1604 | Received 01 Oct 2010, Published online: 15 May 2012
 

Abstract

We give an example of a clean ring R and an idempotent e ∈ R, such that the corner ring eRe is not clean.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

I would like to thank professor Matja Omladi for his help and encouragement with this work. I would also like to thank Slovenian Research Agency for financial support.

Notes

Communicated by I. Swanson.

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