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Gröbner bases with respect to several orderings and multivariable dimension polynomials

  • Published:2007-05 Issue:5 Volume:42 Page:561-578
  • ISSN:0747-7171
  • Container-title:Journal of Symbolic Computation
  • language:en
  • Short-container-title:Journal of Symbolic Computation

Author:

Levin Alexander B.

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference17 articles.

1. An Introduction to Gröbner Bases;Adams,1994

2. Einstein, A., 1953. The Meaning of Relativity. Appendix II (Generalization of Gravitation Theory), 4th ed. Princeton, pp. 133–165

3. Gróbner bases in rings of differential operators;Insa,1998

4. Differential dimension polynomials and a fundamental theorem on differential modules;Johnson;Amer. J. Math.,1969

5. A notion on Krull dimension for differential rings;Johnson;Comment. Math. Helv.,1969

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1. New Multivariate Dimension Polynomials of Inversive Difference Field Extensions;Journal of Mathematical Sciences;2024-09-10

2. New Difference Gröbner Bases and Bivariate Difference Dimension Polynomials;Mathematics in Computer Science;2024-07-24

3. Generalized characteristic sets and new multivariate difference dimension polynomials;Applicable Algebra in Engineering, Communication and Computing;2023-10-28

4. Reduction with Respect to the Effective Order and a New Type of Dimension Polynomials of Difference Modules;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04

5. Generalized Gröbner Bases and New Properties of Multivariate Difference Dimension Polynomials;Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation;2021-07-18
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