Parity numerical semigroups

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URI: http://hdl.handle.net/10498/23314

DOI: 10.15672/hujms.548289

ISSN: 2651-477X

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Author/s
Moreno Frías, María ÁngelesAuthority UCA; Rosales, José Carlos
Date
2020
Department
Matemáticas
Source
Hacet. J. Math. Stat. Volume 49 (3) (2020), 1067 – 1075
Abstract
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.
Subjects
embedding dimension; Frobenius number; genus; multiplicity; numerical semigroup
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