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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/49813

Title: Frobenius pseudo-varieties in numerical semigroups
Authors: Robles-Pérez, Aureliano M.
Rosales González, José Carlos
Issue Date: Feb-2015
Abstract: 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.
Sponsorship: 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.
Publisher: Fondazione Annali di Matematica Pura ed Applicata; Springer Berlin Heidelberg
Description: This is a post-peer-review, pre-copyedit version of an article published in Annali di Matematica Pura ed Applicata. The final authenticated version is available online at: https://doi.org/10.1007/s10231-013-0375-1.
Keywords: Pseudo-varieties
Frobenius varieties
Numerical semigroups
Tree associated (to a pseudo-variety)
URI: http://hdl.handle.net/10481/49813
ISSN: 0373-3114
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: 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]
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FQM343 - Artículos

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