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- Title
ANNIHILATION OF COHOMOLOGY AND DECOMPOSITIONS OF DERIVED CATEGORIES.
- Authors
IYENGAR, SRIKANTH B.; RYO TAKAHASHI
- Abstract
It is proved that an element r in the center of a coherent ring Λ annihilates ExtΛn (M;N), for some positive integer n and all finitely presented Λ-modules M and N, if and only if the bounded derived category of Λ is an extension of the subcategory consisting of complexes annihilated by r and those obtained as n-fold extensions of Λ. This has applications to finiteness of dimension of derived categories.
- Subjects
COHOMOLOGY theory; MATHEMATICAL decomposition; MODULES (Algebra); INTEGERS; MATHEMATICAL equivalence
- Publication
Homology, Homotopy & Applications, 2014, Vol 16, Issue 2, p231
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2014.v16.n2.a12