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Currently displaying 1 – 3 of 3

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Commutative monoids with zero-divisors

J. C. Rosales — 2002

Bollettino dell'Unione Matematica Italiana

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

Adding or removing an element from a pseudo-symmetric numerical semigroup

J. C. Rosales — 2006

Bollettino dell'Unione Matematica Italiana

If $S$ is a pseudo-symmetric numerical semigroup, $g$ is its Frobenius number and $S$ is a minimal generator of $S$ , then $S\cup\{g\}$ , $S\setminus\{g\}$ S and $S\cup\{\frac{1}{2}g,g\}$ are also numerical semigroups. In this paper we study these constructions.

Reduced commutative monoids with two Archimedean components

J. C. Rosales; P.~A. García-Sánchez — 2000

Bollettino dell'Unione Matematica Italiana

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.

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