Abstract
Preface. I. Preliminaries. II. Numerical Polynomials. III. Basic Notion of Differential and Difference Algebra. IV. Grobner 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. Index.
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