Buchberger-Zacharias theory of multivariate Ore extensions
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Publication:2013546
DOI10.1016/j.jpaa.2017.02.011zbMath1379.16025OpenAlexW2578442400MaRDI QIDQ2013546
Michela Ceria, Ferdinando Mora
Publication date: 8 August 2017
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.02.011
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Semigroup rings, multiplicative semigroups of rings (20M25) Ore rings, multiplicative sets, Ore localization (16U20)
Related Items (11)
Buchberger-Weispfenning theory for effective associative rings ⋮ How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ Modular techniques for noncommutative Gröbner bases ⋮ Signature Gröbner bases in free algebras over rings ⋮ De Nugis Groebnerialium 7: Janet, Gerdt, Tamari ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Toward involutive bases over effective rings ⋮ Effective Buchberger-Zacharias-Weispfenning theory of skew polynomial extensions of subbilateral coherent 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
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