摘要
For a commtative ring R and an injective cogenerator E in the category of R-modules, we characterize QF rings, IF rings and semihereditary rings by using the properties of the dual modules with respect to E.
对交换环R和B-模范畴上的一个内射余生成元B,我们用相对于E的对偶模的性质刻画了QF环,IF环和半遗传环.
基金
Supported by National Natural Science Foundation of China (10001017)
Scientific Research Foundation for Returned Overseas Chi