Displaying similar documents to “A theory of transformation monoids: combinatorics and representation theory.”

Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids

Víctor Blanco, Pedro A. García-Sánchez, Alfred Geroldinger (2010)

Actes des rencontres du CIRM

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Arithmetical invariants—such as sets of lengths, catenary and tame degrees—describe the non-uniqueness of factorizations in atomic monoids.We study these arithmetical invariants by the monoid of relations and by presentations of the involved monoids. The abstract results will be applied to numerical monoids and to Krull monoids.

The dual braid monoid

David Bessis (2003)

Annales scientifiques de l'École Normale Supérieure

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Commutative monoids with zero-divisors

J. C. Rosales (2002)

Bollettino dell'Unione Matematica Italiana

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We describe algorithms for computing the nilradical and the zero-divisors of a finitely generated commutative ∅ -monoid. These algorithms will be used for deciding if a given ideal of a finitely generated commutative ∅ -monoid is prime, radical or primary.