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On the global dimension of the functor category (mod R, Ab)

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Publication:1243317
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DOI10.1016/0022-4049(77)90038-XzbMath0371.13013MaRDI QIDQ1243317

Christian U. Jensen

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)



Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Homological dimension (category-theoretic aspects) (18G20)


Related Items (4)

On homological dimensions in some functor categories ⋮ Algebraic compactness of reduced products and applications to pure global dimension ⋮ Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor ⋮ On the global dimension of the functor category \(((\bmod R)^{op},Ab)\) and a theorem of Kulikov



Cites Work

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  • Purity and algebraic compactness for modules
  • Les foncteurs dérivés de lim et leurs applications en théorie des modules
  • On pure global dimension of locally finitely presented Grothendieck categories
  • Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday




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