2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64421We prove the following result: For a generic value of the parameter, the Temperley-Lieb category has no non-zero, proper tensor ideal. When the parameter $d$ is equal to $2\cos(π/n)$ for some $n \ge 3$, then the Temperley-Lieb category has exactly one non-zero, proper ideal, namely the ideal of negligible morphisms.Appendix to M. Freedman, A magnetic model with a possible Chern-Simons phase, quant-ph/0110060Quantum AlgebraCombinatorics17B37; 05E10text