In this paper we develop a new groupoid-based structure theory for the class of regular⁎-
semigroups. This class occupies something of a 'sweet spot'between the important classes …

Assume M n is the n‐dimensional permutation module for the symmetric group S n, and let
M n⊗ k be its k‐fold tensor power. The partition algebra P k (n) maps surjectively onto the …

We study the ideals of the partition, Brauer, and Jones monoid, establishing various
combinatorial results on generating sets and idempotent generating sets via an analysis of …

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 …

We study the partial Brauer monoid and its planar submonoid, the Motzkin monoid. We
conduct a thorough investigation of the structure of both monoids, providing information on …

This article concerns Ehresmann structures in the partition monoid P X. Since PX contains
the symmetric and dual symmetric inverse monoids on the same base set X, it naturally …

In this paper, we consider the monoids of all partial endomorphisms, of all partial weak
endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms …

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 …

We study the idempotent generated subsemigroup of the partition monoid. In the finite case
this subsemigroup consists of the identity and all the singular partitions. In the infinite case …

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