Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (1): 37-41.

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Dimension fPD of Coherent Rings

XIONG Tao1, WANG Fanggui2, DANG Jing3   

  1. 1. College of Mathematic & Information, China West Normal University, Nanchong 637002, Sichuan Province, China;
    2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, China;
    3. State Owned Assets Administrative Office, China West Normal University, Nanchong 637002, Sichuan Province, China
  • Received:2017-11-24 Online:2019-01-26 Published:2019-02-08
  • Contact: XIONG Tao E-mail:xiangqian2004@163.com

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Abstract: Let R be a coherent ring. By using the divisible modules and hdivisible modules, we characterized the coherent domains with fPD at most one, and gave a set of equivalent conditions. Moreover, we gave homological characterization of the dimension fPD of R by using n-FP-injective modules.

Key words: dimension fPD, n-FP-injective module, coherent ring

CLC Number: 

  • O154
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