Noncommutative Gröbner Basis over a Divisible and Annihilable Ring

DOI10.1007/978-3-319-32902-4_9zbMath1365.16046OpenAlexW2554910979MaRDI QIDQ5738737

Nafissatou Diarra, Djiby Sow

Publication date: 12 June 2017

Published in: Non-Associative and Non-Commutative Algebra and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32902-4_9

zbMATH Keywords

overlap relationszero divisorA-polynomialnoncommutative Gröbner basisstandard representationsAS-reducedD-A rings

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of associative rings (general theory) (16Z05)

Cites Work

• An algorithm for computing a Gröbner basis of a polynomial ideal over a ring with zero divisors
• Dynamical Gröbner bases
• Only prime superpositions need be considered in the Knuth-Bendix completion procedure
• An introduction to commutative and noncommutative Gröbner bases
• Noncommutative Gröbner Bases over Rings

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