Graded ring theory

FOREWORD......Page 4
I: Graded Rings and Modules......Page 6
II: Some General Techniques (in the Theory of Graded Rings)......Page 83
I: Some Commutative Algebra Revisited......Page 160
II: Arithmetically Graded Rings......Page 176
Ill: Local Conditions for Noetherian Graded Rings......Page 203
I : Non-Commutative Graded Rings......Page 227
I : The Category of Filtered Modules......Page 283
II. Complete Filtered Modules. The Completion Functor......Page 288
II I: Filtration and Associated Gradation......Page 292
IV: Free and Finitely Gemrated Objects of R-filt......Page 298
V: The I-adic Filtration......Page 303
VI: The Functor HOM&,-). Filt-projective (-injective) Modules......Page 311
VII: Projective Modules and Homological Dimension of Rings......Page 317
VIII: Weak (Flat) Dimension of Filtered Modules......Page 322
IX: Exercises. Comments. References......Page 328
Bibliography......Page 333
Index......Page 341