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arxiv: 0806.0479 · v1 · submitted 2008-06-03 · 🧮 math.AC

Groebner bases for the polynomial ring with infinite variables and their applications

classification 🧮 math.AC
keywords basesinfinitepolynomialringvariablesalgorithmapplicationapplications
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We develop the theory of Gr\"obner bases for ideals in a polynomial ring with countably infinite variables over a field. As an application we reconstruct some of the one-one correspondences among various sets of partitions by using division algorithm.

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