2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72440We study the limit and initial behavior of the numerical function $f(k)=\depth S/I^k$. General properties of this function together with concrete examples arising from combinatorics are discussed.Commutative AlgebraCombinatorics13C15, 13P10The depth of powers of an idealtext