科研之友
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摘要
Let X be a class of left R-modules that contains all projective left R-modules. We study a kind of stability of X-Gorenstein projective modules and settle in affirmative the following question: given an exact sequence of X-Gorenstein projective left R-modules G = center dot center dot center dot -> G(1) -> G(0) -> G(0) -> G(1) -> center dot center dot center dot such that the complex Hom(R)(G, F) is exact for each left R-module F epsilon X, is the module Im(G(0) -> G(0)) X-Gorenstein projective? Some applications are also given.
- 出版日期2013-2
- 单位曲阜师范大学
