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arxiv: 1701.01899 · v1 · pith:Q3IEAID6new · submitted 2017-01-08 · 🧮 math.RA

Buchberger-Zacharias Theory of Multivariate Ore Extensions

classification 🧮 math.RA
keywords extensionsmultivariatetheoryalgorithmalgorithmsbasesbuchbergerbuchberger-zacharias
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We present Buchberger Theory and Algorithm of Gr\"obner bases for multivariate Ore extensions of rings presented as modules over a principal ideal domain. The algorithms are based on M\"oller Lifting Theorem.

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