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2 results on '"05A17, 20M13, 20M14"'

1. Delta sets for symmetric numerical semigroups with embedding dimension three

Author

García-Sánchez, P. A., Llena, D., and Moscariello, A.

Subjects
Mathematics - Commutative Algebra, Mathematics - Combinatorics, 05A17, 20M13, 20M14
Abstract

This work extends the results known for the Delta sets of non-symmetric numerical semigroups with embedding dimension three to the symmetric case. Thus, we have a fast algorithm to compute the Delta set of any embedding dimension three numerical semigroup. Also, as a consequence of these resutls, the sets that can be realized as Delta sets of numerical semigroups of embedding dimension three are fully characterized.

Published
2017

2. Delta sets for symmetric numerical semigroups with embedding dimension three

Author

Pedro A. García-Sánchez, Alessio Moscariello, and D. Llena

Subjects
05A17, 20M13, 20M14, Delta, Pure mathematics, Applied Mathematics, General Mathematics, 010102 general mathematics, 010103 numerical & computational mathematics, Symmetric case, Commutative Algebra (math.AC), Mathematics - Commutative Algebra, 01 natural sciences, Fast algorithm, Dimension (vector space), Numerical semigroup, FOS: Mathematics, Mathematics - Combinatorics, Discrete Mathematics and Combinatorics, Embedding, Combinatorics (math.CO), Delta set, 0101 mathematics, Mathematics
Abstract

This work extends the results known for the Delta sets of non-symmetric numerical semigroups with embedding dimension three to the symmetric case. Thus, we have a fast algorithm to compute the Delta set of any embedding dimension three numerical semigroup. Also, as a consequence of these resutls, the sets that can be realized as Delta sets of numerical semigroups of embedding dimension three are fully characterized.

Published
2017

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