The generators of the Temperley-Lieb algebra generate a monoid with an appealing geometric representation. It has been much studied, notably by Louis Kau¤man. Borisavljevíc, Doen and Petríc gave a complete proof of its abstract presentation by generators and relations, and suggested the name Kau¤man monoid. We bring the theory of semigroups to the study of a certain \u85nite homomorphic image of the Kau¤man monoid. We show the homomorphic image (the Jones monoid) to be a combinatorial and regular *-semigroup with linearly ordered ideals. The Kau¤man monoid is explicitly described in terms of the Jones monoid and a purely combi-natorial numerical function. We use this to describe the ideal structure of the Kau¤man monoid and two other of i...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
This thesis is in combinatorial commutative algebra. It contains four papers, the first three of whi...
Semigroup C*-algebras have been studied for several classes of semigroups. In this talk, we focus on...
The generators of the Temperley-Lieb algebra generate a monoid with an appealing geometric represent...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
We study the partial Brauer monoid and its planar sub-monoid, the Motzkin monoid. We conduct a thoro...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Le...
Wir studieren Klassenhalbgruppen im Zusammenhang mit seminormalen schwach Krull Monoiden und deren M...
We investigate the structure of the twisted Brauer monoid (Figure presented.), comparing and contras...
We give a complete description of the congruence lattices of the following finite diagram monoids: t...
The primary contribution of this thesis is to introduce and examine the planar modular partition mon...
This work covers three important aspects of monomials ideals in the three chapters "Stanley decompos...
PhD ThesisThe principal concern of this document is to develop and expose methodology for enumerati...
summary:We study the semigroups isomorphic to principal ideals of finitely generated commutative mon...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
This thesis is in combinatorial commutative algebra. It contains four papers, the first three of whi...
Semigroup C*-algebras have been studied for several classes of semigroups. In this talk, we focus on...
The generators of the Temperley-Lieb algebra generate a monoid with an appealing geometric represent...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
We study the partial Brauer monoid and its planar sub-monoid, the Motzkin monoid. We conduct a thoro...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Le...
Wir studieren Klassenhalbgruppen im Zusammenhang mit seminormalen schwach Krull Monoiden und deren M...
We investigate the structure of the twisted Brauer monoid (Figure presented.), comparing and contras...
We give a complete description of the congruence lattices of the following finite diagram monoids: t...
The primary contribution of this thesis is to introduce and examine the planar modular partition mon...
This work covers three important aspects of monomials ideals in the three chapters "Stanley decompos...
PhD ThesisThe principal concern of this document is to develop and expose methodology for enumerati...
summary:We study the semigroups isomorphic to principal ideals of finitely generated commutative mon...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
This thesis is in combinatorial commutative algebra. It contains four papers, the first three of whi...
Semigroup C*-algebras have been studied for several classes of semigroups. In this talk, we focus on...