Journal of Jilin University Science Edition ›› 2026, Vol. 64 ›› Issue (1): 62-0068.

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(V,W,Y)-Gorenstein Flat Modules

WU Yongzhen, LIU Ling, CHEN Wenjing   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2025-03-28 Online:2026-01-26 Published:2026-01-26

Abstract: Let R be an associative ring with identity, V and W be classes of left R-modules, and Y be classes of right R-modules. Firstly, we define (V,W,Y)-Gorenstein flat modules, and give an equivalent characterization of (V,W,Y)-Gorenstein flat modules. Secondly, we  prove that this class is closed with respect to  direct sums, direct summands and kernels of epimorphisms under certain conditions.

Key words:  , (V,W,Y)-Gorenstein flat module, right W-decomposition, direct summand

CLC Number: 

  • O153.3