scientific article; zbMATH DE number 1263376
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Publication:4234259
zbMath0925.16018MaRDI QIDQ4234259
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Publication date: 8 September 1999
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finite generating setsfinitely generated right idealsfinite Gröbner basesnon-commutative integral domains
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) Computational aspects of associative rings (general theory) (16Z05)
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An introduction to commutative and noncommutative Gröbner bases ⋮ Buchberger-Weispfenning theory for effective associative rings ⋮ Letterplace ideals and non-commutative Gröbner bases. ⋮ Modular techniques for noncommutative Gröbner bases ⋮ De Nugis Groebnerialium 7: Janet, Gerdt, Tamari ⋮ An extension of Gröbner basis theory to indexed polynomials without eliminations ⋮ Gröbner bases in function rings -- a guide for introducing reduction relations to algebraic structures ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Buchberger-Zacharias theory of multivariate Ore extensions ⋮ Toward involutive bases over effective rings ⋮ Effective Buchberger-Zacharias-Weispfenning theory of skew polynomial extensions of subbilateral coherent rings ⋮ Degröbnerization: a political manifesto
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