A homological dimension related to AB rings

  • Tokuji ArayaEmail author
Original Paper


There are many homological dimensions which are closely related to ring theoretic properties. The notion of a AB ring has been introduced by Huneke and Jorgensen. It has nice homological properties. In this paper, we shall define a homological dimension which is closely related to a AB ring, and investigate its properties.


Auslander condition AB ring AB-dimension CI-dimension G-dimension 

Mathematics Subject Classification

13D05 13H10 13D07 



The author is indebted to Ryo Takahashi, Yuji Yoshino and Olgur Celikbas for their many useful and helpful comments and suggestions. The author also thank the refree for some comments.


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© The Managing Editors 2018

Authors and Affiliations

  1. 1.Department of Applied Science, Faculty of ScienceOkayama University of ScienceOkayamaJapan

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