Semi-dualizing complexes and their auslander categories

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Abstract

Let H be a commutative Noetherian ring. We study fi-modules, and complexes of such, with excellent duality properties. While their common properties are strong enough to admit a rich theory, we count among them such, potentially, diverse objects as dualizing complexes for R on one side, and on the other, the ring itself. In several ways, these two examples constitute the extremes, and their well-understood properties serve as guidelines for our study; however, also the employment, in recent studies of ring homomorphisms, of complexes lying between these extremes is incentive.

Original languageEnglish
Pages (from-to)1839-1883
Number of pages45
JournalTransactions of the American Mathematical Society
Volume353
Issue number5
DOIs
StatePublished - 2001

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