 
Summary: RING HOMOMORPHISMS AND FINITE GORENSTEIN DIMENSION
Luchezar L. Avramov and Hans{Bjrn Foxby
Contents
Introduction
1. Homological algebra
2. Dualizing complexes
3. Dualizing equivalences
4. Gorenstein dimension
5. Relative dualizing complexes: Properties
6. Relative dualizing complexes: Proofs
7. Bass numbers of local homomorphisms
8. QuasiGorenstein homomorphisms
References
Introduction
This paper, in which all rings are commutative and noetherian, is devoted to the study
of the local structure of ring homomorphisms.
Given a ring homomorphism ' : R ! S, various numerical invariants have been at
tached in [8], [5], [6], to its localizations ' q : R q\R ! S q at prime ideals q of S. Some of
these numbers, like dimension, depth, or type, express quantitative characteristics of ';
others, like Cohen{Macaulay defect, or complete intersection defect, capture its qualita
