1 Table of Contents: “... Rings as Connected Sums -- Rigid and Test Modules -- Tate Homology Beyond Gorenstein Rings...”

2 Table of Contents: “...Regular sequences and depth -- Cohen-Macaulay rings -- The canonical module. Gorenstein rings...”

3 Table of Contents: “... decomposition -- The first neighborhood ring -- Gorenstein rings -- Multiplicities -- The canonical ideal of R....”

4 Table of Contents: “... Applications -- A. Appendix. -- A.1 Some Standard Results from Commutative Algebra -- A.2 Gorenstein Rings -- A...”

5 Table of Contents: “... -- On Generalizations of Injectivity -- Auslander-Gorenstein Rings for Beginners -- The Flat Cover Conjecture and Its...”

6 Table of Contents: “... -- 20 Free Resolutions and Fitting Invariants -- 21 Duality, Canonical Modules, and Gorenstein Rings...”

7 Table of Contents: “... Gorenstein-rings by its injective dimension -- VIII — Generalized Cohen-Macaulay Rings and Blowing Up -- §37...”

8 “... material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings...”

9 “... origin, and applications to the classification of Artinian Gorenstein rings and the computation...”

10 “... dimension of a ring, Gorenstein rings, valuation overrings and the valuative dimension, and Nagata rings...”