Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (3): 515-520.

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PGFFIn-Modules and Gorenstein FIn-Flat Modules under Frobenius Extensions

FAN Jiamei, BAI Jie, ZHAO Renyu   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2023-07-18 Online:2024-05-26 Published:2024-05-26

Abstract: Let R S be a Frobenius extension of rings and M be an S-module. We prove that if R S is a separable Frobenius extension, then SM is a projectively coresolved GorensteinFIn-flat module (GorensteinFIn-flat module) if and only if RM is a projectively coresolved GorensteinFIn-flat module (GorensteinFIn-flat module).

Key words:  , Frobenius extension, separable Frobenius extension, projectively coresolved GorensteinFIn-flat , module,  ,  , GorensteinFIn-flat module

CLC Number: 

  • O153.3