Kähler Differentials

Inhaltsverzeichnis

• § 1. Derivations.
• § 2. Differential Algebras.
• § 3. Universal Extension of a Differential Algebra.
• § 4. Description of the Universal Extension in Special Cases.
• § 5. Differential Modules of Field Extensions.
• § 6. Differential Modules of Local Rings.
• § 7. Differential Modules of Affine Algebras.
• § 8. Smooth Algebras.
• § 9. Differential Modules of Complete Intersections.
• § 10. The Kahler Differents (Jacobian Ideals) of an Algebra.
• § 11. Universally Finite Differential Algebras.
• § 12. Differential Algebras and Completion.
• § 13. Differential Modules of Semianalytic Algebras.
• § 14. Regularity Criteria for Semianalytic Algebras.
• § 15. Existence of p-Bases.
• § 16. Traces of Differential Forms.
• § 17. Residues in Algebraic Function Fields of one Variable.
• Appendices.
• A. Commutative Algebras.
• B. Dimension Formulas in Algebras of Finite Type.
• C. Complete Intersections.
• D. The Fitting Ideals of a Module.
• E. The Dual of a Module over a Noetherian Ring.
• F. Traces.
• G. Differents.
• Symbol Index.