Frobenius pseudo-varieties in numerical semigroups Robles-Pérez, Aureliano M. Rosales González, José Carlos Pseudo-varieties Frobenius varieties Numerical semigroups Tree associated (to a pseudo-variety) Monoids 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. 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. 2018-03-05T12:31:27Z 2018-03-05T12:31:27Z 2015-02 info:eu-repo/semantics/article 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] 0373-3114 1618-1891 http://hdl.handle.net/10481/49813 10.1007/s10231-013-0375-1 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Fondazione Annali di Matematica Pura ed Applicata; Springer Berlin Heidelberg