Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (6): 1356-1360.

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Duality Pairs with Respect to Weak Tilting Modules

LUO Pei, YANG Xiaoyan   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2021-03-25 Online:2021-11-26 Published:2021-11-22

Abstract: Let W be a class of weak tilting modules and C be a class of cotilting modules,we prove  that (W,C) is duality pair on an arbitrary ring R, and discuss the properties of module class and cotorsion pairs related to W based on this result.

Key words:  , weak tilting module, cotilting module, duality pair, cotorsion pair

CLC Number: 

  • O153.3