JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 28-32.doi: 10.6040/j.issn.1671-9352.0.2014.072

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Stability of GC-projective modules

ZHANG Ya-feng, ZHANG Wen-hui   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2014-02-28 Online:2014-10-20 Published:2014-11-10

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Abstract: M-type modules are defined, it is proved that if an exact complex of GC-projective modules , such that the complexes HomR(G,H) and HomR(H,G) are exact for every GC-projective module H, then the modules Ker(di) are still GC-projective modules for every i∈Z.

Key words: GC-projective complexes, M-type modules, Gorenstein GC-projective modules, GC-projective modules

CLC Number: 

  • O153.3
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