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Reduced Gröbner Bases, Free Difference–Differential Modules and Difference–Differential Dimension Polynomials

  • Published:2000-10 Issue:4 Volume:30 Page:357-382
  • ISSN:0747-7171
  • Container-title:Journal of Symbolic Computation
  • language:en
  • Short-container-title:Journal of Symbolic Computation

Author:

Levin Alexander

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference38 articles.

1. A Gröbner approach to involutive bases;Apel;J. Symb. Comput.,1995

2. The theory of involutive divisions and an application to Hilbert function computations;Apel;J. Symb. Comput.,1998

3. The dimension polynomials of the extensions of difference fields;Balaba;Vestnik Mosk. Univ. (In Russian.),1984

4. Gröbner Bases. A Computational Approach to Commutative Algebra;Becker,1993

5. B. Buchberger, 1965

Cited by 18 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. 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

2. Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation;Journal of Symbolic Computation;2021-01

3. Elimination of unknowns for systems of algebraic differential-difference equations;Transactions of the American Mathematical Society;2020-10-14

4. Multivariate Difference–Differential Dimension Polynomials;Mathematics in Computer Science;2020-01-16

5. Bivariate Dimension Polynomials of Non-Reflexive Prime Difference-Differential Ideals.;Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation;2018-07-11
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