Noncommutative Gröbner Bases over Rings

DOI10.1080/00927872.2012.738340zbMath1314.16041arXiv1208.2442OpenAlexW2059078273MaRDI QIDQ5245147

Djiby Sow, André Saint Eudes Mialébama Bouesso

Publication date: 2 April 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2442

zbMATH Keywords

noncommutative Gröbner basesnormal form theoremsBuchberger algorithmNoetherian valuation rings

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) Computational aspects of associative rings (general theory) (16Z05)

Related Items

GRÖBNER-SHIRSHOV BASIS FOR MONOMIALS SEMIRING OVER D-A RINGS ⋮ Two-sided noncommutative Gröbner basis on quiver algebras ⋮ Intersection of ideals in a polynomial ring over a dual valuation domain ⋮ Noncommutative Gröbner Basis over a Divisible and Annihilable Ring

Cites Work

• Dynamical Gröbner bases
• Dynamical Gröbner bases over Dedekind rings
• The diamond lemma for ring theory
• An introduction to commutative and noncommutative Gröbner bases
• Unnamed Item