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- W2952195539 abstract "We establish doubly-exponential degree bounds for Grobner bases in certain algebras of solvable type over a field (as introduced by Kandri-Rody and Weispfenning). The class of algebras considered here includes commutative polynomial rings, Weyl algebras, and universal enveloping algebras of finite-dimensional Lie algebras. For the computation of these bounds, we adapt a method due to Dub'e based on a generalization of Stanley decompositions. Our bounds yield doubly-exponential degree bounds for ideal membership and syzygies, generalizing the classical results of Hermann and Seidenberg (in the commutative case) and Grigoriev (in the case of Weyl algebras)." @default.
- W2952195539 created "2019-06-27" @default.
- W2952195539 creator A5016852571 @default.
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- W2952195539 date "2007-10-25" @default.
- W2952195539 modified "2023-09-27" @default.
- W2952195539 title "Degree Bounds for Grobner Bases in Algebras of Solvable Type" @default.
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