Perfect Pairs of Ideals and Duals in Numerical Semigroups

Kurt Herzinger, Stephen Wilson, Nándor Sieben +1

This paper considers numerical semigroups $S$ that have a non-principal relative ideal $I$ such that ${\mu }_S(I){\mu }_S(S-I)={\mu }_S(I+(S-I))$. We show the existence of an infinite family of…