Frobenius pseudo-varieties in numerical semigroups
Metadatos
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Fondazione Annali di Matematica Pura ed Applicata; Springer Berlin Heidelberg
Materia
Pseudo-varieties Frobenius varieties Numerical semigroups Tree associated (to a pseudo-variety) Monoids
Fecha
2015-02Referencia bibliográfica
Robles-Pérez, A.M.; Rosales González, J.C. Frobenius pseudo-varieties in numerical semigroups. Annali di Matematica Pura ed Applicata, 194(1): 275-287 (2015). [http://hdl.handle.net/10481/49813]
Patrocinador
Both of the authors are supported by FQM-343 (Junta de Andalucía), MTM2010-15595 (MICINN, Spain), and FEDER funds. The second author is also partially supported by Junta de Andalucía/Feder grant number FQM-5849.Resumen
The common behavior of several families of numerical semigroups led up to defining the Frobenius varieties. However, some interesting families were out of this definition. In order to overcome this situation, in this paper we introduce the concept of (Frobenius) pseudo-varieties. Moreover, we will show that most
of the results for varieties can be generalized to pseudo-varieties.