Symmetric numerical semigroups with arbitrary multiplicity and embedding dimension
نویسندگان
چکیده
منابع مشابه
Symmetric Numerical Semigroups with Arbitrary Multiplicity and Embedding Dimension
We construct symmetric numerical semigroups S for every minimal number of generators μ(S) and multiplicity m(S), 2 ≤ μ(S) ≤ m(S) − 1. Furthermore we show that the set of their defining congruence is minimally generated by μ(S)(μ(S) − 1)/2 − 1 elements.
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let $fneq1,3$ be a positive integer. we prove that there exists a numerical semigroup $s$ with embedding dimension three such that $f$ is the frobenius number of $s$. we also show that the same fact holds for affine semigroups in higher dimensional monoids.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2001
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-01-05819-1