Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (6): 51-55.doi: 10.16088/j.issn.1001-6600.2020.06.006

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Cover Gorenstein AC-flat Dimensions

CHEN Dong1*, HU Kui2   

  1. 1. College of Information Science and Engineering, Chengdu University, Chengdu Sichuan 610106, China;
    2. College of Science, Southwest University of Science and Technology, Mianyang Sichuan 621010, China
  • Received:2019-05-06 Published:2020-11-30

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Abstract: By introducing the covering Gorenstein AC-flat dimension of modules, the conditions that Gorenstein AC-flat modules are closed under extension are discussed, and a sufficient condition for the stability of Gorenstein AC-flat modules is given. Some properties of Gorenstein AC-flat modules, and some stability conditions of Gorenstein AC-flat modules are improved.

Key words: Gorenstein AC-flat modules, covering Gorenstein AC-flat(injective) dimension, stability

CLC Number: 

  • O154
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