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CS环和Exchnge环的正则性
引用本文:吕瑞芳.CS环和Exchnge环的正则性[J].浙江师范大学学报(自然科学版),2007,30(3):269-271.
作者姓名:吕瑞芳
作者单位:金华教育学院,浙江,金华,321000
摘    要:对CS环、Exchange环和von Neumann正则环的关系进行了研究,给出了CS环中的自内射环是正则环的充要条件,同时也给出了CS环和Exchange环成为von Neumann正则环的条件.

关 键 词:von  Neumann正则环  CS环  Exchange环  Extending模
文章编号:1001-5051(2007)03-0269-03
收稿时间:2006-10-29
修稿时间:2007-04-23

The regularity of the CS ring and the Exchange ring
L Ruifang.The regularity of the CS ring and the Exchange ring[J].Journal of Zhejiang Normal University Natural Sciences,2007,30(3):269-271.
Authors:L Ruifang
Institution:L(U) Ruifang
Abstract:The relationships between the CS ring,Exchange ring and the von Newmann regular ring were studied.It was also discussed that what kind of conditions would be required to ensure the CS ring and Exchange ring to be a von Newmann regular ring.
Keywords:von Neumann regular ring  CS ring  Exchange ring  Exchange module
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