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On the global dimension of the category of commutative diagrams in an abelian category

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Publication:1358011
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DOI10.1007/BF02110735zbMath0874.18008MaRDI QIDQ1358011

Ahmet A. Khusainov

Publication date: 22 July 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

intervalprojective dimensionglobal dimensionhomology groupsabelian categorysmall categoryHochschild-Mitchell dimensionnerve


Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Functor categories, comma categories (18A25)




Cites Work

  • Cohomology of small categories
  • A remark on projectives in functor categories
  • Finite partially ordered sets of cohomological dimension one
  • The Hochschild-Mitchell dimension of the set of reals is equal to 3
  • The Hochschild-Mitchell dimension of linearly ordered sets and the continuum hypothesis
  • On the dimension of objects and categories. I: Monoids
  • On the dimension of objects and categories. II: Finite ordered sets
  • Rings with several objects
  • Les foncteurs dérivés de lim et leurs applications en théorie des modules
  • On the cohomology of incidence algebras of partially ordered sets
  • On extension groups in the category of Abelian diagrams
  • Unnamed Item
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