Contents
Introduction ix
Acknowledgment xi
Notation and general preliminary results xiii
Chapter I. Main results and examples 1
1. Two classical cases 1
2. Statements of main results 4
3. T-Koszul algebras concentrated in degrees 0 and 1 7
4. Further examples and classes of T-Koszul algebras 10
Chapter II. Proofs of main results 17
1. Preliminaries 17
2. Duality 23
3. T-Koszul algebras and quadratic algebras 28
Chapter III. Generalized T-Koszul algebras 30
1. Natural properties of Koszul modules 30
2. Generalized T-Koszul algebras 35
3. The classical cases revisited 37
4. Necessity of the (g-Tor-conditions 38
5. Properties of the Ext-functor 39
6. Duality 44
Chapter IV. Further results and questions 48
1. Modules generated in 0 48
2. T-Koszul algebras in degrees 0 and 1, revisited 52
3. Ext-algebras for injective cotilting modules 54
4. rejT = 0 and corejT = 0 58
5. Questions 59
6. Quadruples 63
Bibliography 66
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