Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (2): 216-220.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.012

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On Gorenstein Resolution Dimensions of Complexes

  

  1. Department of Mathematics, Longnan Teacher’s College
  • Received:2016-03-07 Online:2017-06-30 Published:2020-10-26
  • About author:CUI Jun-feng(1978-), male, native of Dingxi, Gansu, a lecturer of Longnan Teacher's College, M.S.D., engages in advanced algebra.
  • Supported by:
    Supported by the 2015 Scientific Research Projects in Universities of Gansu Province(2015A-181);

Abstract: Let W be a self-orthogonal class of R-modules. We prove that W-Gorenstein resolution dimension of a complex X is equivalent to the supremum of W-Gorenstein resolution dimension of modules Xfor all i ∈ Z. 

Key words: complex, orthogonal class, resolution dimension

CLC Number: