Effective Buchberger-Zacharias-Weispfenning theory of skew polynomial extensions of subbilateral coherent rings

DOI10.1016/j.jsc.2019.03.003zbMath1470.13044OpenAlexW2921997551WikidataQ128218048 ScholiaQ128218048MaRDI QIDQ2284965

Bertrand Nguefack, Emmanuel Pola

Publication date: 15 January 2020

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2019.03.003

zbMATH Keywords

coherenceskew polynomial extensionseffective Buchberger theorysubbilateral Gröbner bases

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Ordinary and skew polynomial rings and semigroup rings (16S36) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Solving polynomial systems; resultants (13P15)

Related Items (7)

Signature Gröbner bases in free algebras over rings ⋮ De Nugis Groebnerialium 7: Janet, Gerdt, Tamari ⋮ Unnamed Item ⋮ Toward involutive bases over effective rings ⋮ Zacharias representation of effective associative rings ⋮ Why you cannot even hope to use Ore algebras in cryptography ⋮ Why you cannot even hope to use Gröbner bases in cryptography: an eternal golden braid of failures

Uses Software

• Letterplace

Cites Work

• The ideal membership problem in non-commutative polynomial rings
• Non-commutative Gröbner bases in algebras of solvable type
• On the construction of Gröbner bases using syzygies
• Graded algebras of global dimension 3
• Computational ideal theory in finitely generated extension rings
• Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra.
• Buchberger-Zacharias theory of multivariate Ore extensions
• Buchberger-Weispfenning theory for effective associative rings
• A standard basis approach to syzygies of canonical curves.
• Solving Polynomial Equation Systems
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• Unnamed Item

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