Flores, MarceloMarceloFloresDimos Goundaroulis2025-08-252025-08-252019-11-2810.1016/j.jpaa.2019.1062732-s2.0-85076234036https://cris-uv-2.scimago.es/handle/123456789/3392WOS:000512213200023We extend the Framization of the Temperley-Lieb algebra to Coxeter systems of type B. We first define a natural extension of the classical Temperley-Lieb algebra to Coxeter systems of type B and prove that such an extension supports a unique linear Markov trace function. We then introduce the Framization of the Temperley-Lieb algebra of type B as a quotient of the Yokonuma-Hecke algebra of type B. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra of type B to pass to the quotient algebra. Using the main theorem, we construct invariants for framed links and classical links inside the solid torus.enacceso restringidoAlgebra And Number TheoryMathematicsMathematics, Appliedarticle