2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163873The j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local ring $(R, m)$. It is equal to the Hilbert-Samuel multiplicity if the ideal is $m$-primary. In this paper we explore the computability of the j-multiplicity, giving another proof for the length formula and the additive formula.15 pagesCommutative Algebra13H15; 13D40text