Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (1): 73-78.

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Complete AC Resolution

HOU Tingting,  YANG Xiaoyan   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2022-01-07 Online:2023-01-26 Published:2023-01-26

Abstract: Firstly, we introduced the definition of Gorenstein AC flat dimension for complexes and gave some characterizations of GFacdim M≤n for any complex M. Secondly, we proved that if the complex M had finite Gorenstein AC flat dimension, then M had a complete AC resolution.

Key words: complex, Gorenstein AC flat module, complete AC resolution

CLC Number: 

  • O153.3