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

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

2008-06-03

arxiv.org/abs/0806.0479v1

Mathematics

Commutative Algebra

17 pages

Scientific paper

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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