JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (10): 17-21.doi: 10.6040/j.issn.1671-9352.0.2017.576

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Gorenstein homological dimensions of modules under exact zero-divisors

GUO Shou-tao, WANG Zhan-ping   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-11-07 Online:2018-10-20 Published:2018-10-09

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Abstract: Let R be a commutative Noetherian ring with identity, x be an exact zero-divisor over R. Gorenstein homological dimensions of modules under exact zero-divisors are investigated. M/xM is Gorenstein projective(injective, flat)R/xR-module if M is Gorenstein projective(injective, flat)R-module, the results of corresponding dimensions are gained. The result can also be obtained for Ding projective(injective)R- modules.

Key words: Gorenstein projective(injective, flat)modules, Gorenstein projective(injective, flat)dimensions, exact zero-divisors

CLC Number: 

  • O154.2
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