2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153753We introduce a reduced form of a Birman-Murakami-Wenzl Algebra associated to the braid group of Coxeter type B and investigate its semisimplicity, Bratteli diagram and Markov trace. Applications in knot theory and physics are outlined.24 pages, Latex2eQuantum Algebratext