凝聚环的维数fPD

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

凝聚环的维数fPD

熊涛¹, 王芳贵², 党靖³

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. 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/Abstract

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

熊涛, 王芳贵, 党靖. 凝聚环的维数fPD[J]. 吉林大学学报(理学版), 2019, 57(1): 37-41.

XIONG Tao, WANG Fanggui, DANG Jing. Dimension fPD of Coherent Rings[J]. Journal of Jilin University Science Edition, 2019, 57(1): 37-41.

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