We compare three approaches to the notion of conjugacy for semigroups, the first one via
the transitive closure of the uv∼ vu relation, the second one via an action of inverse …

The action of any group on itself by conjugation and the corresponding conjugacy relation
play an important role in group theory. There have been several attempts to extend the …

We obtain a presentation for the singular part of the Brauer monoid with respect to an
irreducible system of generators, consisting of idempotents. As an application of this result …

The action of any group on itself by conjugation and the corresponding conjugacy relation
play an important role in group theory. There have been many attempts to find notions of …

In a group G, elements a and b are conjugate if there exists g∈ G such that g− 1 ag= b. This
conjugacy relation, which plays an important role in group theory, can be extended in a …

We give a characterisation of the idempotents of the partition monoid, and use this to
enumerate the idempotents in the finite partition, Brauer and partial Brauer monoids, giving …

Kauffman monoids K _n and Jones monoids J _n, n= 2, 3,\dots, are two families of monoids
relevant in knot theory. We prove a somewhat counterintuitive result that the Kauffman …

The conjugacy relation plays an important role in group theory. If a and b are elements of a
group G, a is conjugate to b if g− 1 ag= b for some g∈ G. The group conjugacy extends to …

Full article: Identities of the Kauffman monoid K3 Skip to Main Content Taylor and Francis Online
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Crystal graphs, in the sense of Kashiwara, carry a natural monoid structure given by
identifying words labelling vertices that appear in the same position of isomorphic …