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Two questions of L. Va${\rm \check{\textbf{s}}}$ on *-clean rings
Clean ring Clean ring Regular ring Strongly clean ring Unit regular ring
2011/8/26
Abstract: A ring $R$ with an involution * is called (strongly) *-clean if every element of $R$ is the sum of a unit and a projection (that commute). All *-clean rings are clean. Va${\rm \check{s}}$ [L...
关于强Clean一般环 (英)
强clean一般环 强$\pi$-正则一般环 上三角矩阵环
2008/10/23
本文介绍了强clean一般环的概念并将一些基本的结果推广到这个更广的环类.证明了强clean一般环的角落环和强$\pi$-正则一般环都是强clean的,还讨论了强clean一般环的扩张并且证明了满足条件$J(I)=Q(I)$的交换clean一般环的上三角矩阵环是强clean的.