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- 2017
强g(x)-J-Clean环
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Abstract:
摘要： 介绍了强g(x)-J-clean环的概念。 说明了强J-clean环是强x(x-1)-J-clean环。 给出了强g(x)-J-clean环以及强J-clean 环的一些等价刻画。同时证明了强(xn-x)-J-clean环是直有限的且有稳定秩1(n≥2)。
Abstract: The concept of strongly g(x)-J-clean rings is introduced. It is proved strongly J-clean rings are strongly x(x-1)-J-clean. Moreover, equivalent characters for strongly g(x)-J-clean rings and J-clean rings are given. It is proved that strongly (xn-x)-J-clean rings are directly finite and have stable range one (n≥2)
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