On Gröbner bases of noncommutative power series

DOI10.1016/S0019-3577(98)80030-XzbMath0930.16017OpenAlexW2026668403MaRDI QIDQ1279723

Lothar Gerritzen, Ralf Holtkamp

Publication date: 7 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(98)80030-x

zbMATH Keywords

free algebrasGröbner-Shirshov basesnoncommutative power seriestopological Gröbner bases

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (7)

Matrices of formal power series associated to binomial posets ⋮ Tree polynomials and non-associative Gröbner bases ⋮ Noncommutative rational double points ⋮ A pseudo-analyzer approach to formal group laws not of operad type ⋮ Parafree augmented algebras and Gröbner-Shirshov bases for complete augmented algebras ⋮ Topological rewriting systems applied to standard bases and syntactic algebras ⋮ On infinite Gröbner bases in free algebras

Cites Work

• A computational model for algebraic power series
• A basis of a free metabelian associative algebra
• The diamond lemma for ring theory
• On infinite Gröbner bases in free algebras
• An introduction to commutative and noncommutative Gröbner bases
• On quantum general linear groups
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