Almost symmetric numerical semigroups
Commutative Algebra
2018-07-03 v1
Abstract
We study almost symmetric numerical semigroups and semigroup rings. We describe a characteristic property of the minimal free resolution of the semigroup ring of an almost symmetric numerical semigroup. For almost symmetric semigroups generated by elements we will give a structure theorem by using the \lq\lq row-factorization matrices", introduced by Moscariello. As a result, we give a simpler proof of Komeda's structure theorem of pseudo-symmetric numerical semigroups generated by elements. Row-factorization matrices are also used to study shifted families of numerical semigroups.
Cite
@article{arxiv.1807.00134,
title = {Almost symmetric numerical semigroups},
author = {Jürgen Herzog and Kei-ichi Watanabe},
journal= {arXiv preprint arXiv:1807.00134},
year = {2018}
}