A Theorem of Eakin and Sathaye and Green's Hyperplane Restriction Theorem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103720A Theorem of Eakin and Sathaye relates the number of generators of a certain power of an ideal with the existence of a distinguished reduction for that ideal. We prove how this result can be obtained as a special case of Green's General Hyperplane Restriction Theorem.4 PagesCommutative Algebra13H99; 13A02A Theorem of Eakin and Sathaye and Green's Hyperplane Restriction Theoremtext