Perfect Pairs of Ideals and Duals in Numerical Semigroups
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
This paper considers numerical semigroups that have a non-principal relative ideal such that . We show the existence of an infinite family of such which . We also show examples of such pairs that are not members of this family. We discuss the computational process used to find these examples and present some open questions pertaining to them.
Keywords
Cite
@article{arxiv.math/0508631,
title = {Perfect Pairs of Ideals and Duals in Numerical Semigroups},
author = {Kurt Herzinger and Stephen Wilson and Nándor Sieben and Jeff Rushall},
journal= {arXiv preprint arXiv:math/0508631},
year = {2007}
}