@misc{10481/49818,
year = {2016},
month = {7},
url = {http://hdl.handle.net/10481/49818},
abstract = {In this paper we study some questions on numerical semigroups of type two.  On the one hand,  we investigate the relation between the genus and the Frobenius number.  On the other hand, for two fixed positive integers
g1, g2, we give necessary and sufficient conditions in order to have a numerical semigroup S such that {g1, g2} is the set of its pseudo-Frobenius numbers and, moreover, we build explicitly families of such numerical semigroups.},
organization = {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 = {Cambridge University Press; Royal Society of Edinburgh},
keywords = {Frobenius number},
keywords = {Pseudo-Frobenius number},
keywords = {Numerical semigroups},
keywords = {Genus},
keywords = {Type},
title = {The genus, the Frobenius number, and the pseudo-Frobenius numbers of numerical semigroups of type two},
doi = {10.1017/S0308210515000840},
author = {Robles-Pérez, Aureliano M. and Rosales González, José Carlos},
}