Gröbner and Gröbner-Shirshov bases in algebra: an elementary approach.

zbMath1133.16037MaRDI QIDQ2569314

Leonid A. Bokut', Kar Ping Shum

Publication date: 18 October 2005

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmsGröbner basesword problemLie algebrassemigroup algebrasfree algebraspolynomial idealsGröbner-Shirshov basesfinitely presented commutative algebrasComposition Diamond Lemma

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Free semigroups, generators and relations, word problems (20M05) Identities, free Lie (super)algebras (17B01) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Computational aspects of associative rings (general theory) (16Z05)

Related Items (3)

A Gröbner-Shirshov basis approach to Hua's identity. ⋮ Polynomial identities of bicommutative algebras, Lie and Jordan elements ⋮ Gröbner–Shirshov bases for commutative dialgebras

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