대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권3호
  • /
  • Pages.649-661
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  • 2023
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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LOCAL-GLOBAL PRINCIPLE AND GENERALIZED LOCAL COHOMOLOGY MODULES

  • Bui Thi Hong Cam (Department of Natural Science Education Dong Nai University) ;
  • Nguyen Minh Tri (Vietnam National University and Department of Mathematics and Physics University of Information Technology) ;
  • Do Ngoc Yen (Faculty of Fundamental Science 2 Posts and Telecommunications Institute of Technology)
  • 투고 : 2022.05.31
  • 심사 : 2023.02.10
  • 발행 : 2023.07.31
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초록

Let 𝓜 be a stable Serre subcategory of the category of R-modules. We introduce the concept of 𝓜-minimax R-modules and investigate the local-global principle for generalized local cohomology modules that concerns to the 𝓜-minimaxness. We also provide the 𝓜-finiteness dimension f𝓜I (M, N) of M, N relative to I which is an extension the finiteness dimension fI (N) of a finitely generated R-module N relative to I.

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과제정보

The author is deeply grateful to the referee for careful reading of the manuscript and for the helpful suggestions. This research is funded by Vietnam National University HoChiMinh City (VNU-HCM) under grant number C2023-26-15.

참고문헌

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