Differential and Difference Dimension Polynomials
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played by the differential dimension polynomials. The notion of differential dimension polynomial was introduced by E. Ko...
Main Authors: | , , , |
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Format: | eBook |
Language: | English |
Published: |
Dordrecht
Springer Netherlands
1999, 1999
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Edition: | 1st ed. 1999 |
Series: | Mathematics and Its Applications
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Preliminaries
- II. Numerical Polynomials
- III. Basic Notion of Differential and Difference Algebra
- IV. Gröbner Bases
- V. Differential Dimension Polynomials
- VI. Dimension Polynomials in Difference and Difference-Differential Algebra
- VII. Some Application of Dimension Polynomials in Difference-Differential Algebra
- VIII. Dimension Polynomials of Filtered G-modules and Finitely Generated G-fields Extensions
- IX. Computation of Dimension Polynomials
- References