| 利用图的完形刻画wsr1条件 |
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| 引用本文： | 武同锁.利用图的完形刻画wsr1条件[J].数学研究及应用,1999,19(1):130-134. |
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| 作者姓名： | 武同锁 |
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| 作者单位： | 上海交通大学应用数学系,上海200030 |
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| 基金项目： | 国家自然科学基金资助课题. |
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| 摘 要： | 本文证明了：对于拟投射右R-模M，EndR（M）满足wsr1条件（即弱的stable range one条件）当且仅当MR是T-投射模；wsr1条件是左右对称的;对于von Neumann正则环R，R满足wsr1条件当且仅当R为单侧幺正则环．
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| 关 键 词： | wsr1条件 图完形 T-投影模 |
Characterizing wsr1 Condition by Completions of Diagrams |
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| Wu Tongsuo.Characterizing wsr1 Condition by Completions of Diagrams[J].Journal of Mathematical Research with Applications,1999,19(1):130-134. |
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| Authors: | Wu Tongsuo |
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| Institution: | Dept. of Appl. Math.; Shanghai Jiaotong Univ.; Shanghai 200030 |
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| Abstract: | We prove that for a right quasi-projective R-module M, EndR (M) satisfies wsr1 condition if and only if M is a T-projective module. We prove that wsr1 condition is left-right symmetric. For von Neumann regular ring R, R satisfies wsr1 if and only if R is one-sided unit regular. |
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| Keywords: | wsr1 condition T-projectivity completion of diagram |
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