JP Journal of Algebra, Number Theory and Applications
-->
Abstract: A numerical semigroup S is of maximal embedding dimension if and only if, for each
positive integer n, there exist
infinitely many numerical semigroups T
that are of maximal embedding dimension such that For all sufficiently large integers n,
each numerical semigroup S can be
expressed as for some corresponding numerical
semigroup T of maximal embedding
dimension. Related results and examples are also given.