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Standard bases in mixed power series and polynomial rings over rings

  • Published:2017-03 Issue: Volume:79 Page:119-139
  • ISSN:0747-7171
  • Container-title:Journal of Symbolic Computation
  • language:en
  • Short-container-title:Journal of Symbolic Computation

Author:

Markwig Thomas,Ren Yue,Wienand Oliver

Funder

German-Israeli Foundation for Scientific Research and Development

German Research Foundation

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference35 articles.

1. An Introduction to Gröbner Bases;Adams,1994

2. Alonso, Maria-Emilia, Castro, Francisco, Hauser, Herwig, 2005. Effective algebraic power series, Preprint.

3. A computational model for algebraic power series;Alonso;J. Pure Appl. Algebra,1977

4. The division algorithm and the Hilbert scheme;Bayer,1982

5. Stability and Buchberger criterion for standard bases in power series rings;Becker;J. Pure Appl. Algebra,1990

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2. Computing free non-commutative Gröbner bases over Z with Singular:Letterplace;Journal of Symbolic Computation;2023-03

3. Some improvements for the algorithm of Gröbner bases over dual valuation domain;Electronic Research Archive;2023

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5. Computing Tropical Varieties Over Fields with Valuation;Foundations of Computational Mathematics;2019-08-05
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