摘要
研究了clean环中的几个上三角矩阵环。通过将clean环的定义推广到任意环(不必有1),得到若R是clean环,G是阶为2的群,满足一定条件,群环RG也是clean环;证明了一些上三角矩阵环是强clean环。最后推广了一些结论,得到一些上三角矩阵环是强f-clean环。
Several upper triangular matrix rings of clean rings were studied. By the definition of a clean ring （with 1） is extended to any ring （not necessarily with 1） ,some results were proved： Let R be a clean ring, and let G be a group of order 2, then group ring RG is also a clean ring under some conditions. Several upper triangular matrix rings are strongly clean rings. Then several results of clean rings were extended; some upper triangular matrix rings are a strongly f-clean rings.
出处
《辽宁石油化工大学学报》
CAS
2013年第1期94-96,共3页
Journal of Liaoning Petrochemical University
