,Exchange Rings Satisfying the n-Stable Range Condition, I

• 作 者: Huanyin Chen Fu-an Li
• 机 构: Department of Mathematics, Zhejiang Normal University Jinhua, Zhejiang 321004, China“,”Institute of
• 出 处: 代数集刊（英文版）
• 发表日期: 2002年3期
• 关键词: exchange ring n-stable range condition

We give some necessary and sufficient conditions on an exchange ring R, under which R satisfies the n-stable range condition. We also prove that every simple separative exchange ring with finite stable range must have stable range one.