Journal of Lanzhou University of Technology ›› 2023, Vol. 49 ›› Issue (5): 157-162.

• Scientific • Previous Articles     Next Articles

Dimensions of complexes related to Gorenstein injective preenvelopes

WU De-jun, ZHAO Xiao-yu   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2022-04-22 Online:2023-10-28 Published:2023-11-07

Abstract: Let R be an associative ring with identity and X be an R-complex. The definition and basic properties of the homological dimension of X related to the Gorenstein injective preenvelope are given, and the relationship between the homological dimension of X concerning Gorenstein injective preenvelope and the Gorenstein dimension of X is studied.

Key words: special Gorenstein injective preenvelope, homological dimension, almost coisomorphic

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