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关于X-Gorenstein投射模与Y-Gorenstein内射模的余挠对

, PP. 157-161

Keywords: X-Gorenstein投射模,Y-Gorenstein内射模,(预)包络,(预)覆盖,余挠对

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Abstract:

证明了当X是一个可解预包络类且对任意的内射R-模I,X-pdR(I)<∞,则(X-GP,(X-GP)⊥)是一个遗传的余挠对,其中X-GP是X-Gorenstein投射模的类.对偶地,证明了若对任何投射R-模P,有Y-idR(P)<∞,则(⊥(Y-GI),Y-GI)是一个遗传的余挠对,其中Y是一个余可解的预覆盖R-模类,Y-GI是Y-Gorenstein内射模的类.

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