NONCOMMUTATIVE GRÖBNER BASES FOR THE COMMUTATOR IDEAL

DOI10.1142/S0218196706002834zbMath1106.16026MaRDI QIDQ5470164

Jon McCammond, Susan M. Hermiller

Publication date: 29 May 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

commutator idealsnoncommutative Gröbner basesuniversal Gröbner basescomplete rewriting systemsdivision orderings

Mathematics Subject Classification ID

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) Grammars and rewriting systems (68Q42)

Cites Work

• Commutative monoids have complete presentations by free (non-commutative) monoids
• Relating rewriting techniques on monoids and rings: congruences on monoids and ideals in monoid rings
• Monomial orderings, rewriting systems, and Gröbner bases for the commutator ideal of a free algebra
• An introduction to commutative and noncommutative Gröbner bases
• How to shell a monoid
• Non-commutative Gröbner bases for commutative algebras
• Scott's conjecture is true, position sensitive weights

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