2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72427Our aim in this paper is to obtain a formula for the multiplicity of the maximal homogeneous ideal of the multi-graded extended Rees algebra. This formula generalizes the one obtained in [8] by Katz and Verma for the ordinary extended Rees algebra.12 pagesCommutative Algebra13H15text