대한수학회지 (Journal of the Korean Mathematical Society)

  • 제60권6호
  • /
  • Pages.1337-1364
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  • 2023
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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THE BONGARTZ'S THEOREM OF GORENSTEIN COSILTING COMPLEXES

  • Hailou Yao (Department of Mathematics Faculty of Science Beijing University of Technology) ;
  • Qianqian Yuan (Department of Mathematics Faculty of Science Beijing University of Technology)
  • 투고 : 2023.04.26
  • 심사 : 2023.09.13
  • 발행 : 2023.11.01
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초록

We describe the Gorenstein derived categories of Gorenstein rings via the homotopy categories of Gorenstein injective modules. We also introduce the concept of Gorenstein cosilting complexes and study its basic properties. This concept is generalized by cosilting complexes in relative homological methods. Furthermore, we investigate the existence of the relative version of the Bongartz's theorem and construct a Bongartz's complement for a Gorenstein precosilting complex.

키워드

과제정보

This work was financially supported by National Natural Science Foundation of China (Grant No.12071120).

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