Computation of the ω-primality and asymptotic ω-primality with applications to numerical semigroups

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URI: http://hdl.handle.net/10498/35538

DOI: 10.1007/S11856-014-1144-6

ISSN: 1565-8511

ISSN: 1565-8511

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Author/s
García García, Juan IgnacioAuthority UCA; Moreno Frías, María ÁngelesAuthority UCA; Vigneron Tenorio, AlbertoAuthority UCA
Date
2015
Department
Matemáticas
Source
Israel Journal of Mathematics, Vol. 206, Núm. 1, 2015, pp. 395-411
Abstract
We give an algorithm to compute the ω-primality of finitely generated atomic monoids. Asymptotic ω-primality is also studied and a formula to obtain it in finitely generated quasi-Archimedean monoids is proven. The formulation is applied to numerical semigroups, obtaining an expression of this invariant in terms of its system of generators.
Subjects
algorithm; w-primality; finitely generated atomic monoid; asymptotic w-primality
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