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双群结合环与Morita等价
Two-Groups Associative Rings and Morita Equivalence
【摘要】 本文主要证明了具有左、右单位的双群结合环的算于环对是morita等价的;反之,给定morita等价的环对,可以构造出双群结合环,使其算子环同构于给定的环对.
【Abstract】 In this Paper the author proves that the operator ring pair of a two-group associative ring with left and right. units are Morita equivalence;and when a Morita equivalence ring pair (L,R) isgiven,one can construct a two-group associative ring with ’L,R’ as its operator ring pair.
【关键词】 双群结合环;
算子环;
Morita等价;
【Key words】 two-group associative ring; operator ring; Morita equivalence;
【Key words】 two-group associative ring; operator ring; Morita equivalence;
- 【文献出处】 浙江师大学报(自然科学版) ,Journal of Zhejiang Normal University(Natural Sciences) , 编辑部邮箱 ,1996年01期
- 【分类号】O152
- 【下载频次】8