2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135110This paper explores the structure of quasi-socle ideals I=Q:m^2 in a Gorenstein local ring A, where Q is a parameter ideal and m is the maximal ideal in A. The purpose is to answer the problem of when Q is a reduction of I and when the associated graded ring G(I) = \bigoplus_{n \geq 0}I^n/I^{n+1} is Cohen-Macaulay. Wild examples are explored.20 pages, minor changes, to appear in J. Pure Appl. AlgebraCommutative Algebra13H10, 13A30, 13B22, 13H15text