On infinite Gröbner bases in free algebras

DOI10.1016/S0019-3577(98)80029-3zbMath0930.16016MaRDI QIDQ1279721

Lothar Gerritzen

Publication date: 7 February 2000

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

relationsGröbner basesgeneratorsfree algebrasGröbner-Shirshov bases

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Quadratic and Koszul algebras (16S37)

Related Items

On quantum general linear groups, On Gröbner bases of noncommutative power series

Cites Work

• The diamond lemma for ring theory
• On Gröbner bases of noncommutative power series
• An introduction to commutative and noncommutative Gröbner bases
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
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