caa a22 4500 605495904 CHVBK 20210128100533.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10231-013-0375-1 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0375-1 Frobenius pseudo-varieties in numerical semigroups [Elektronische Daten] [Aureliano Robles-Pérez, José Rosales] 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. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Pseudo-varieties nationallicence Frobenius varieties nationallicence Monoids nationallicence Numerical semigroups nationallicence Tree associated (to a pseudo-variety) nationallicence Robles-Pérez Aureliano Departamento de Matemática Aplicada, Universidad de Granada, 18071, Granada, Spain aut Rosales José Departamento de Álgebra, Universidad de Granada, 18071, Granada, Spain aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 275-287 0373-3114 194:1<275 2015 194 10231 https://doi.org/10.1007/s10231-013-0375-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0375-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Robles-Pérez Aureliano Departamento de Matemática Aplicada, Universidad de Granada, 18071, Granada, Spain aut NATIONALLICENCE 700 1- Rosales José Departamento de Álgebra, Universidad de Granada, 18071, Granada, Spain aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 275-287 0373-3114 194:1<275 2015 194 10231