Journal of Jishou University(Natural Sciences Edition)

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R-Gorenstein Injective Modules with Faithfuly Flat Co-Base Changes

LI Ling, LIANG Li   

  1.  (School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China)
  • Online:2019-11-25 Published:2019-12-16


R Gorenstein injective modules with faithfully flat co-base changes are investigated in the paper. Let R be a commutative ring and S be a faithfully flat R-algebra. It is proved, with some extra assumptions, that an R-module N is R-Gorenstein injective if and only if N is strongly cotorsion and HomR(S, N) is a R′-Gorenstein injective S-module.

Key words: faithfully flat co-base change, R-Gorenstein injective module, strongly cotorsion module

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