Almost symmetric numerical semigroups with odd generators
Commutative Algebra
2019-01-04 v1
Abstract
We study almost symmetric semigroups generated by odd integers. If the embedding dimension is four, we characterize when a symmetric semigroup that is not complete intersection or a pseudo-symmetric semigroup is generated by odd integers. Moreover, we give a way to construct all the almost symmetric semigroups with embedding dimension four and type three generated by odd elements. In this case we also prove that all the pseudo-Frobenius numbers are multiple of one of them and this gives many consequences on the semigroup and its defining ideal.
Cite
@article{arxiv.1901.00550,
title = {Almost symmetric numerical semigroups with odd generators},
author = {Francesco Strazzanti and Kei-ichi Watanabe},
journal= {arXiv preprint arXiv:1901.00550},
year = {2019}
}