Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Delta sets for nonsymmetric numerical semigroups with embedding dimension three - MaRDI portal

Delta sets for nonsymmetric numerical semigroups with embedding dimension three (Q1689390)

From MaRDI portal





scientific article; zbMATH DE number 6825353
Language Label Description Also known as
English
Delta sets for nonsymmetric numerical semigroups with embedding dimension three
scientific article; zbMATH DE number 6825353

    Statements

    Delta sets for nonsymmetric numerical semigroups with embedding dimension three (English)
    0 references
    0 references
    0 references
    12 January 2018
    0 references
    Let \(S\) be a nonsymmetric numerical semigroup with embedding dimension three. In this paper, the authors define the Bézout couples, generate a semigroup with them and use them in order to give the Delta set of \(S\). Moreover, a fast algorithm for computing this invariant is given. They compare their algorithm with the previous one implemented in GAP getting a huge difference of time. Finally, they solve the question `which finite subsets of \(\mathbb{N}\) are admissible Delta set for embedding dimension three numerical semigroups?'.
    0 references
    numerical semigroup
    0 references
    factorizations
    0 references
    delta sets
    0 references
    symmetric numerical semigroup
    0 references
    Euclid's algorithm
    0 references
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references