A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings.

DOI10.1515/math-2015-0028zbMath1350.16042OpenAlexW1128846365MaRDI QIDQ317652

Xiangui Zhao, Yang Zhang

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0028

zbMATH Keywords

Gröbner-Shirshov basessignature-based algorithmsskew PBW extensionsskew solvable polynomial ringssolvable polynomial algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of associative rings (general theory) (16Z05)

Related Items

Evaluation and interpolation over multivariate skew polynomial rings, Skew Reed-Muller codes

Uses Software

• Plural

Cites Work

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• Catenarity in a class of iterated skew polynomial rings
• A new framework for computing Gröbner bases
• Some New Results on Gröbner-Shirshov Bases
• A signature-based algorithm for computing Gröbner bases in solvable polynomial algebras
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