JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (4): 32-40.doi: 10.6040/j.issn.1671-9352.0.2019.458

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GI-modules and coreflexive complexes

LIU Yan-ping   

  1. College of Economics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-04-09

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Abstract: A class of GI-modules, coreflexive complexes and their properties are investigated. It is proved that an artinian module has finite GI-dimension if and only if it is coreflexive as a complex. The GI-dimension of complexes is also studied and it is found that a complex homologically degreewise artinian and bounded to the left has finite GI-dimension if and only if it is coreflexive.

Key words: Gorenstein injective module, GI-class, coreflexive complex, GI-dimension

CLC Number: 

  • O153.3
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