Prime ideals in autometrized algebras
Principal ideals of finitely generated commutative monoids
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.
Pseudosimple Commutative Semigroups.
Quasi commutative semigroups and a-reflective semigroups.
Radicals of semigroup rings of commutative semigroups.
RC-commutative ...-semigroups.
Realization theorems for semigroups with divisor theory.
Reduced commutative monoids with two Archimedean components
Si studiano i monoidi commutativi ridotti con due componenti archimedee e si forniscono dei teoremi di strutture. Si presta particolare attenzione a quei monoidi che sono finitamente generati, e si danno degli algoritmi che permettono di ottenere informazioni a partire da un delle loro presentazioni.
Rees quotients of N-semigroups.
Reg-strongly solid varieties of commutative semigroups
Relative block semigroups and their arithmetical applications
We introduce relative block semigroups as an appropriate tool for the study of certain phenomena of non-unique factorizations in residue classes. Thereby the main interest lies in rings of integers of algebraic number fields, where certain asymptotic results are obtained.
Remarks on the structure of the multiplicative monoid of integers modulo m.
Representation of semigroups by products of simple graphs
Representations of commutative semigroups by products of metric -dimensional spaces
Resolutions for free partially commutative monoids.
Semigroup representations of medial groupoids
Semigroups and lattices.
Semigroups whose proper left ideals are commutative
Semigroups whose proper subsemigroups are quasicommutative.
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids
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.