2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88098We give presentations, by means of diagrammatic generators and relations, of the analogues of the Temperley-Lieb algebras associated as Hecke algebra quotients to Coxeter graphs of type B and $D$. This generalizes Kauffman's diagram calculus for the Temperley-Lieb algebra.16 pages, 13 EPS figures. Journal of Knot Theory and its Ramifications, to appearQuantum Algebra16B50, 05E99text