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Cohomology theories in triangulated categories

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Publication:520535
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DOI10.1007/s10114-016-5280-2zbMath1384.18001OpenAlexW2530369760MaRDI QIDQ520535

Ren Yu Zhao, Wei Ren, Liu, Zhongkui

Publication date: 3 April 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5280-2


zbMATH Keywords

triangulated categoriesproper class of trianglescohomology theories


Mathematics Subject Classification ID

Relative homological algebra, projective classes (category-theoretic aspects) (18G25)


Related Items

Balance of complete cohomology in extriangulated categories



Cites Work

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  • Gorenstein homological dimensions for triangulated categories
  • Gorenstein objects in triangulated categories
  • Balance of Tate cohomology in triangulated categories
  • Gorenstein homological dimensions.
  • Gorenstein dimensions
  • Gorenstein injective and projective modules
  • Relative homological algebra
  • Relative homological algebra and purity in triangulated categories
  • Tate cohomology and Gorensteinness for triangulated categories
  • Triangulated Categories
  • ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
  • Cohomology theories based on Gorenstein injective modules
  • Higher algebraic K-theory: I
  • Stable module theory
  • Gorenstein projective dimension for complexes
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