| On the Flatness and Injectivity of Dual Modules(II) |
| Received:October 26, 1998 |
| Key Words:
QF rings flatness injectivity dual modules.
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| Fund Project:Supported by National Natural Science Foundation of China (10001017) and Scientific Research Foundation for Returned Overseas Chinese Scholars (State Education Commission) |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2001.03.012 |
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