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arxiv: 1609.04257 · v1 · pith:U733S5GQnew · submitted 2016-09-14 · 🧮 math.AC

New Strategies for Standard Bases over Z

classification 🧮 math.AC
keywords basesringsstandardstrategiesalgorithmavoidcoefficientcreating
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Experiences with the implementation of strong Gr\"obner bases respectively standard bases for polynomial rings over principal ideal rings are explained: different strategies for creating the pair set, methods to avoid coefficient growth and a normal form algorithm for non-global orderings.

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