Dimensions of triangulated categories with respect to subcategories

DOI10.1016/J.JALGEBRA.2013.09.035zbMath1305.18044arXiv1204.6421OpenAlexW2963628119MaRDI QIDQ397846

Takuma Aihara, Tokuji Araya, Michio Yoshiwaki, Osamu Iyama, Ryo Takahashi

Publication date: 12 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6421

zbMATH Keywords

Cohen-Macaulay moduleglobal dimensionfunctor categorycotilting moduledimension of triangulated categoryresolving subcategory

Mathematics Subject Classification ID

Functor categories, comma categories (18A25) Derived categories and associative algebras (16E35) Derived categories and commutative rings (13D09)

Related Items (10)

Relative derived dimensions for cotilting modules ⋮ Gorenstein orders of finite lattice type ⋮ The resolution dimensions with respect to balanced pairs in the recollement of abelian categories ⋮ Remarks on dimensions of triangulated categories ⋮ On the derived dimension of abelian categories ⋮ Generation in singularity categories of hypersurfaces of countable representation type ⋮ On the recollements of functor categories ⋮ Resolving subcategories whose finitely presented module categories are abelian ⋮ Classification of dominant resolving subcategories by moderate functions ⋮ Dimension and level of triangulated categories

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