(X, Y)-Gorenstein projective and injective modules

Authors: QUNXING PAN, FAQUN CAI

Abstract: This paper introduces and studies (X,Y)-Gorenstein projective and injective modules, which are a generalization of Enochs' Gorenstein projective and injective modules, respectively. Our main aim is to investigate the relations among various (X,Y)-Gorenstein projective modules.

Keywords: 1-(X,Y)-Gorenstein projective module, n-(X,Y)-Gorenstein projective module, (n, m)-(X,Y)-Gorenstein projective module, (X,Y)-Gorenstein projective module

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