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All monoids and rings appearing in this work are commutative; for this reason in the rest of the paper we omit this adjective. denotes the set of nonnegative integers. Decomposition of an ideal into irreducibles has been mainly used in the literature for proving the existence of primary decompositions of ideals of Ž . rings and monoids see for instance 1, 2… (More)
We study the set of numerical semigroups containing a given numerical semigroup. As an application we prove characterizations of irreducible numerical semigroups that unify some of the existing characterizations for symmetric and pseudo-symmetric numerical semigroups. Finally we describe an algorithm for computing a minimal decomposition of a numerical… (More)
Nowadays there is a significant amount of data mining work performed outside the DBMS. This article discusses recommendations to push data mining analysis into the DBMS paying attention to data preprocessing (i.e. data cleaning, summarization and transformation), which tends to be the most time-consuming task in data mining projects. We present a discussion… (More)
We extend the concept of presentation of finitely generated commutative monoids to ideals of finitely generated commutative monoids and give algorithms to obtain information about an ideal from a given presentation. 2000 Mathematics Subject Classification: 20M12, 20M14, 20M05.
We introduce the concept of presentation for the Archimedean components of finitely generated commutative monoids. Some properties like being cancellative, torsion freeness and separativity are studied under this new point of view.
We present some characterizations of properties related to factorization problems on finitely generated commutative monoids. We also give a series of algorithms for studying these problems from a presentation of a given commutative monoid.
BACKGROUND The term heraldic seizures indicates epileptic seizures caused by cerebrovascular disease, believed to be triggered by silent ischemia and occurring before a stroke. This fact widens the spectrum of possible interrelations between epilepsy and cerebrovascular disease outside the well known context of post-stroke epilepsy. METHODS This is a case… (More)
We give characterizations of the property of being weakly reductive for finitely generated commutative semigroups. As a consequence of these characterizations we obtain an algorithm for determining from a presentation of a finitely generated commutative semigroup whether it is weakly reductive. Furthermore, we present some connections between cancellative… (More)