2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162170We 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-one correspondences among various sets of partitions by using division algorithm.17 pagesCommutative Algebra13P10Groebner bases for the polynomial ring with infinite variables and their applicationstext