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. © 2003 Hindawi Publishing Corporation. All rights reserved.
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CITATION STYLE
APA
Chen, H., & Chen, M. (2003). On clean ideals. International Journal of Mathematics and Mathematical Sciences, 2003(62), 3949–3956. https://doi.org/10.1155/S0161171203211339
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