期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203211339
出版社：Hindawi Publishing Corporation
摘要：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.
