Abstract: 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.

Key words: Clean ring , Strongly clean ring ,  f-Clean ring , Some upper triangular matrix rings

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飊clean环。

关键词: clean环 , 强clean环 , f-clean环 , 上三角矩阵环