RT journal article T1 Parity numerical semigroups A1 Moreno Frías, María Ángeles A1 Rosales, José Carlos A2 Matemáticas K1 embedding dimension K1 Frobenius number K1 genus K1 multiplicity K1 numerical semigroup AB A numerical semigroup is parity (P-semigroup) if the sum of two consecutive elements of S is odd. In this paper we will order the P-semigroups creating a tree with root. This ordering allows us to give some algorithms to build all the P-semigroups with a fixed genus and Frobenius number. Also, we will study the maximal P-semigroups with a given Frobenius number as well as the P-semigroups with maximum embedding dimension. PB HACETTEPE UNIV SN 2651-477X YR 2020 FD 2020 LK http://hdl.handle.net/10498/23314 UL http://hdl.handle.net/10498/23314 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 13-nov-2026