Kähler differentials

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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.