Academic Journal
FINITE HOMOLOGICAL DIMENSION AND A DERIVED EQUIVALENCE.
| Τίτλος: | FINITE HOMOLOGICAL DIMENSION AND A DERIVED EQUIVALENCE. |
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| Συγγραφείς: | SANDERS, WILLIAM T.1 william.sanders@math.ntnu.no, SANE, SARANG2 sarangsanemath@gmail.com |
| Πηγή: | Transactions of the American Mathematical Society. Jun2017, Vol. 369 Issue 6, p3911-3935. 25p. |
| Θεματικοί όροι: | *Spectral sequences (Mathematics), *Mathematical complexes, *Homology theory, *Dimension theory (Algebra), *Mathematical category theory, *Witt group |
| Περίληψη: | 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] |
| Βάση Δεδομένων: | Academic Search Index |
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