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关于广义拟duo-环与广义MELT(MERT)-环
On generalized quasi-duo rings and generalized MELT(MERT)-rings
【摘要】 引入了广义左(右)拟duo 环与广义MELT(MERT) 环的概念,并用其模的GP 内射性刻画了正则性.
【Abstract】 The concepts of quasi-duo rings and MELT(MERT)-rings are generalized to the generalized left(right)quasi-duo rings and generalized MELT(MERT)-rings.Their regularity is characterized by the GP-injectivity of the modules.
【关键词】 广义拟duo-环;
强正则环;
弱正则环;
GP-内射模;
广义MELT(MERT)-环;
【Key words】 generalized quasi-duo ring; strongly regular ring; weakly regular ring; GP-injective module; generalized MELT(MERT)-ring;
【Key words】 generalized quasi-duo ring; strongly regular ring; weakly regular ring; GP-injective module; generalized MELT(MERT)-ring;
- 【文献出处】 西北师范大学学报(自然科学版) ,Journal of Northwest Normal University(Natural Science Edition) , 编辑部邮箱 ,2005年01期
- 【分类号】O153.3
- 【被引频次】3
- 【下载频次】35