Ebook: Kähler Differentials

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Content:
Front Matter....Pages I-VII
Derivations....Pages 1-19
Differential Algebras....Pages 20-35
Universal Extension of a Differential Algebra....Pages 36-53
Description of the Universal Extension in Special Cases....Pages 54-71
Differential Modules of Field Extensions....Pages 72-92
Differential Modules of Local Rings....Pages 93-116
Differential Modules of Affine Algebras....Pages 117-137
Smooth Algebras....Pages 138-149
Differential Modules of Complete Intersections....Pages 150-158
The Kahler Differents (Jacobian Ideals) of an Algebra....Pages 159-170
Universally Finite Differential Algebras....Pages 171-181
Differential Algebras and Completion....Pages 182-192
Differential Modules of Semianalytic Algebras....Pages 193-210
Regularity Criteria for Semianalytic Algebras....Pages 211-230
Existence of p-Bases....Pages 231-244
Traces of Differential Forms....Pages 245-268
Residues in Algebraic Function Fields of One Variable....Pages 269-286
Back Matter....Pages 287-402

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Content:
Front Matter....Pages I-VII
Derivations....Pages 1-19
Differential Algebras....Pages 20-35
Universal Extension of a Differential Algebra....Pages 36-53
Description of the Universal Extension in Special Cases....Pages 54-71
Differential Modules of Field Extensions....Pages 72-92
Differential Modules of Local Rings....Pages 93-116
Differential Modules of Affine Algebras....Pages 117-137
Smooth Algebras....Pages 138-149
Differential Modules of Complete Intersections....Pages 150-158
The Kahler Differents (Jacobian Ideals) of an Algebra....Pages 159-170
Universally Finite Differential Algebras....Pages 171-181
Differential Algebras and Completion....Pages 182-192
Differential Modules of Semianalytic Algebras....Pages 193-210
Regularity Criteria for Semianalytic Algebras....Pages 211-230
Existence of p-Bases....Pages 231-244
Traces of Differential Forms....Pages 245-268
Residues in Algebraic Function Fields of One Variable....Pages 269-286
Back Matter....Pages 287-402
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