On clean ideals

Huanyin Chen and Miaosen Chen

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-8

Abstract:

We introduce the notion of clean ideal, which is a natural generalization of clean rings. It is shown that every matrix ideal over a clean ideal of a ring is clean. Also we prove that every ideal having stable range one of a regular ring is clean. These generalize the corresponding results for clean rings.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:748686

DOI: 10.1155/S0161171203211339

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