Groebner bases for the polynomial ring with infinite variables and their applications
Commutative Algebra
2008-06-04 v1
Abstract
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.
Cite
@article{arxiv.0806.0479,
title = {Groebner bases for the polynomial ring with infinite variables and their applications},
author = {Kei-ichiro Iima and Yuji Yoshino},
journal= {arXiv preprint arXiv:0806.0479},
year = {2008}
}
Comments
17 pages