2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66095Let $(A,\frak m)$ be an excellent normal local ring with algebraically closed residue class field. Given integrally closed $\frak m$-primary ideals $I\supset J$, we show that there is a composition series between $I$ and $J$, by integrally closed ideals only. Also we show that any given integrally closed $\fm$-primary ideal $I$, the family of integrally closed ideals $J\subset I, l_A(I/J)=1$ forms an algebraic variety with dimension $\dim A -1$.6 pages, to appear in contemporary mathCommutative AlgebraAlgebraic Geometry13B22; 14N99text