Displaying similar documents to “Comultiplication on monoids.”

On semifir monoid rings.

Ferrán Cedó Gine (1989)

Publicacions Matemàtiques

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We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Furthermore, we construct a monoid that satisfies all the currently known necessary conditions for F[] to be a semifir and that the group of units of is trivial, but is not a directed union of free monoids.

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.