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...

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Main Authors: Kondratieva, M. V., Levin, A. B. (Author), Mikhalev, A. V. (Author), Pankratiev, E. V. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Dordrecht Springer Netherlands 1999, 1999
Series:Mathematics and Its Applications
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