JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (12): 7-9.doi: 10.6040/j.issn.1671-9352.0.2016.337

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On Gorenstein injective comodules

XU Ai-min   

  1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, Chian
  • Received:2016-07-17 Online:2016-12-20 Published:2016-12-20

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Abstract: Let C be a right semiperfect coalgebra over a field. It is shown that every right C-comodule has a Gorenstein injective envelope. Moreover, if the projective dimension of C as a right C-comodule is finite, an equivalent characterization of Gorenstein injective right C-comodules is given.

Key words: Gorenstein injective comodule, Gorenstein coalgebra, semiperfect coalgebra

CLC Number: 

  • O153.3
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