AbstractWe investigate the manner in which the partition monoid Pn and algebra Pnξ may be presented by generators and relations. Making use of structural properties of Pn, as well as presentations for several key submonoids, we obtain a number of presentations for Pn, including that given (without a complete proof) by Halverson and Ram in 2005. We then conclude by showing how each of these presentations gives rise to an algebra presentation for Pnξ
We give new, short proofs of the presentations for the partition monoid and its singular ideal origi...
summary:We obtain a presentation for the singular part of the Brauer monoid with respect to an irred...
summary:We obtain a presentation for the singular part of the Brauer monoid with respect to an irred...
AbstractWe investigate the manner in which the partition monoid Pn and algebra Pnξ may be presented ...
We investigate the manner in which the partition monoid Pn and algebra Pξ n may be presented by gene...
We describe Green's relations on the partition monoid, two of its sub-monoids, and the related Jones...
AbstractWe study the idempotent generated subsemigroup of the partition monoid. In the finite case t...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
This article concerns Ehresmann structures in the partition monoid PX. Since PX contains the symmetr...
AbstractWe introduce the partial vine monoid PVn. This monoid is related to the partial transformati...
This thesis concerns the representation theory of diagram algebras and related problems. In particul...
Funding: The first author is supported by ARC Future Fellowship FT190100632. The second author is su...
The partition monoid is a salient natural example of a *-regular semi- group. We find a Galois conn...
The partition monoid is a salient natural example of a *-regular semi- group. We find a Galois conn...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
We give new, short proofs of the presentations for the partition monoid and its singular ideal origi...
summary:We obtain a presentation for the singular part of the Brauer monoid with respect to an irred...
summary:We obtain a presentation for the singular part of the Brauer monoid with respect to an irred...
AbstractWe investigate the manner in which the partition monoid Pn and algebra Pnξ may be presented ...
We investigate the manner in which the partition monoid Pn and algebra Pξ n may be presented by gene...
We describe Green's relations on the partition monoid, two of its sub-monoids, and the related Jones...
AbstractWe study the idempotent generated subsemigroup of the partition monoid. In the finite case t...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
This article concerns Ehresmann structures in the partition monoid PX. Since PX contains the symmetr...
AbstractWe introduce the partial vine monoid PVn. This monoid is related to the partial transformati...
This thesis concerns the representation theory of diagram algebras and related problems. In particul...
Funding: The first author is supported by ARC Future Fellowship FT190100632. The second author is su...
The partition monoid is a salient natural example of a *-regular semi- group. We find a Galois conn...
The partition monoid is a salient natural example of a *-regular semi- group. We find a Galois conn...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
We give new, short proofs of the presentations for the partition monoid and its singular ideal origi...
summary:We obtain a presentation for the singular part of the Brauer monoid with respect to an irred...
summary:We obtain a presentation for the singular part of the Brauer monoid with respect to an irred...