Some applications of module theory to functor categories

DOI10.1090/S0002-9904-1978-14530-3zbMath0389.18005MaRDI QIDQ4170871

Barry Mitchell

Publication date: 1978

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Functor categories, comma categories (18A25) Representation theory of associative rings and algebras (16Gxx)

Related Items (17)

The Hochschild-Mitchell dimension of the set of reals is equal to 3 ⋮ Model theory of functors: Axiomatizability problems ⋮ Simplicial algebroids and internal categories within \(R\)-algebroids ⋮ Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology ⋮ Projective diagrams over partially ordered sets are free ⋮ Cohomology of Modules Over -categories and Co--categories ⋮ Coproduct of crossed \(\mathrm{A}\)-modules of \(R\)-algebroids ⋮ DG quotients of DG categories. ⋮ Free modules and crossed modules ofR-algebroids ⋮ Homotopies of crossed modules of \(R\)-algebroids ⋮ The global dimension of a trace monoid ring ⋮ The global dimension of polynomial categories in partially commuting variables ⋮ Entwined modules over linear categories and Galois extensions ⋮ A note on the structure of injective diagrams ⋮ Rings of finite representation type and modules of finite Morley rank ⋮ Separable categories ⋮ Special classes of generalized coherent rings

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