Juyumaya, JesúsJesúsJuyumayaFrancesca AicardiDiego Arcis2025-08-252025-08-252022-06-1310.1016/j.jpaa.2022.1071612-s2.0-85132212153https://cris-uv-2.scimago.es/handle/123456789/4656WOS:000882576200005We introduce a ramified monoid, attached to each Brauer–type monoid, that is, to the symmetric group, to the Jones and Brauer monoids among others. Ramified monoids correspond to a class of tied monoids arising from knot theory and are interesting in themselves. The ramified monoid attached to the symmetric group is the Coxeter-like version of the so–called tied braid monoid. We give a presentation of the ramified monoid attached to the Brauer monoid. Also, we introduce and study two tied-like monoids that cannot be described as ramified monoids. However, these monoids can also be regarded as tied versions of the Jones and Brauer monoids.enacceso abiertoAlgebra And Number TheoryMathematicsMathematics, Appliedarticle