x-GORENSTEIN PROJECTIVE AND y-GORENSTEIN INJECTIVE MODULES

作者：Meng, Fanyun^*; Pan, Qunxing

来源：Hacettepe Journal of Mathematics and Statistics, 2011, 40(4): 537-554.

• x-Gorenstein projective modules
• Y-Gorenstein injective modules
• y-Gorenstein flat modules

Let x be a class of right R-modules that contains all projective right R-modules. The notion of x-Gorenstein projective modules was introduced by D. Bennis and K. Ouarghi (x-Gomnstein projective modules, International Mathematical Forum 5 (10), 487-491, 2010). In this paper, we introduce y-Gorenstein injective right R-modules and y-Gorenstein flat left R-modules, where y is a class of right R-modules that contains all injective right R-modules. We show that the principal results on Gorenstein modules remain true for x-Gorenstein projective right R-modules, y-Gorenstein injective right R-modules and y-Gorenstein flat left R-modules.

• 出版日期2011-8
• 单位南京大学; 南京农业大学