Gröbner Bases for the Polynomial Ring with Infinite Variables and Their Applications
Kei-ichiro Iima, Yuji Yoshino · Communications in Algebra · 2009
We develop the theory of Gröbner bases for ideals in a polynomial ring with countably infinite variables over a field. As an application we reconstruct some of the one-to-one correspondences among various sets of partitions by using the division algorithm.