Kähler Differentials
Published on 1. January 1986
Book
Paperback/Softback
VII, 402 pages
978-3-528-08973-3 (ISBN)
Description
§ 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.
More details
Series
Language
German
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
Professional and scholarly
Research
Illustrations
VII, 402 S.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 23 mm
Weight
622 gr
ISBN-13
978-3-528-08973-3 (9783528089733)
DOI
10.1007/978-3-663-14074-0
Schweitzer Classification
Other editions
Additional editions
Person
Professor Ernst Kunz ist Professor für Mathematik an der Universität Regensburg.
Content
§ 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.