吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (1): 37-41.

• 数学 • 上一篇    下一篇

凝聚环的维数fPD

熊涛1, 王芳贵2, 党靖3   

  1. 1. 西华师范大学 数学与信息学院, 四川 南充 637002; 
    2. 四川师范大学 数学与软件科学学院,  成都 610068;
    3. 西华师范大学 国有资产管理处, 四川 南充 637002
  • 收稿日期:2017-11-24 出版日期:2019-01-26 发布日期:2019-02-08
  • 通讯作者: 熊涛 E-mail:xiangqian2004@163.com

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

摘要: 设R是凝聚环. 利用可除模和h-可除模刻画fPD不超过1的凝聚整环, 给出一组等价条件, 并利用n-FP-内射模, 给出R的维数fPD的同调刻画.

关键词: 维数fPD, n-FP-内射模, 凝聚环

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

中图分类号: 

  • O154