Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THE EXTENSION DIMENSION OF MODULE CATEGORIES

  • Peng, Yeyang (Department of Mathematics Nanjing University) ;
  • Zhao, Tiwei (School of Mathematical Sciences Qufu Normal University)
  • Received : 2019.10.08
  • Accepted : 2020.03.05
  • Published : 2020.11.01
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Abstract

Let Λ be an Artin algebra and mod Λ the category of finitely generated right Λ-modules. We prove that the radical layer length of Λ is an upper bound for the radical layer length of mod Λ. We give an upper bound for the extension dimension of mod Λ in terms of the injective dimension of a certain class of simple right Λ-modules and the radical layer length of DΛ.

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References

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