Kähler Differentials [electronic resource] /

§ 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.

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Bibliographic Details
Main Authors: Kunz, Ernst. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:ger
Published: Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 1986
Subjects:Mathematics., Difference equations., Functional equations., Partial differential equations., Partial Differential Equations., Difference and Functional Equations., Mathematics, general.,
Online Access:http://dx.doi.org/10.1007/978-3-663-14074-0
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