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Congruence Lattices of Finite Diagram Monoids by East, James; Mitchell, James D.; Ruskuc, Nik; Torpey, Michael is a scholarly article available to read on EtoBox.

What is Congruence Lattices of Finite Diagram Monoids about?

We give a complete description of the congruence lattices of the following finite diagram monoids: the partition monoid, the planar partition monoid, the Brauer monoid, the Jones monoid (also known as the Temperley-Lieb monoid), the Motzkin monoid, and the partial Brauer monoid. All the congruences under discussion arise as special instances of a new construction, involving an ideal I, a retraction I->M onto the minimal ideal, a congruence on M, and a normal subgroup of a maximal subgroup outside I.

Author

East, James; Mitchell, James D.; Ruskuc, Nik; Torpey, Michael

Published

2017

Language

EN