| Inverse limit and FP-Injective Hulls of Modules |
| Received:December 07, 1988 |
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| Abstract: |
| Let R be a ring with unit element, and A a left R-module. A is called FP-injective if ExtR′(P, A)=0 for every finitely presented R-module P. Let ER(A) denote the injective hull of A. In the paper we prove by means of inverse limit functor that any module A Over coherent ring R has the minimum FP-injective submodule eR(A) in ER(A) which contains A and can be defined as the FP-injective hull of A. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1990.04.016 |
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