RT journal article T1 On reducible non-Weierstrass semigroups A1 García García, Juan Ignacio A1 Marín Aragón, Daniel A1 Torres, Fernando A1 Vigneron Tenorio, Alberto A2 Matemáticas K1 additive combinatorics K1 Buchweitz semigroup K1 numerical semigroup K1 pseudo-Frobenius number K1 Weierstrass points K1 Weierstrass semigroup AB Weierstrass semigroups are well known along the literature. We present a new family of non-Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups. In addition,we provide methods for computing non-Weierstrass semigroups with genus as large as desired. PB DE GRUYTER SN 2391-5455 YR 2021 FD 2021-10 LK http://hdl.handle.net/10498/25945 UL http://hdl.handle.net/10498/25945 LA eng NO Funding information: Part of this paper was written during a visit of Fernando Torres to the Universidad de Cadiz (Spain) ; his visit was partially supported by Ayudas para Estancias Cortas de Investigadores (EST2018-R0, Programa de Fomento e Impulso de la Investigacion y la Transferencia en la Universidad de Cadiz) . Fernando Torres was partially supported by CNPq/Brazil (Grant 310623/2017-0) . Juan Ignacio Garcia-Garcia, Daniel Marin-Aragon, and Alberto Vigneron-Tenorio were partially supported by Junta de Andalucia research groups FQM-343 and FQM-366, and by the project MTM2017-84890-P (MINECO/FEDER, UE) . DS Repositorio Institucional de la Universidad de Cádiz RD 21-sep-2026