Khler Differentials [Paperback]

? 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.Springer Book Archives