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FINITE HOMOLOGICAL DIMENSION AND A DERIVED EQUIVALENCE.
- Source :
-
Transactions of the American Mathematical Society . Jun2017, Vol. 369 Issue 6, p3911-3935. 25p. - Publication Year :
- 2017
-
Abstract
- For a Cohen-Macaulay ring R, we exhibit the equivalence of the bounded derived categories of certain resolving subcategories, which, amongst other results, yields an equivalence of the bounded derived category of finite length and finite projective dimension modules with the bounded derived category of projective modules with finite length homologies. This yields isomorphisms of K-theory and Witt groups (amongst other invariants) and improves on terms of associated spectral sequences and Gersten complexes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 369
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 121941757
- Full Text :
- https://doi.org/10.1090/tran/6882