PreprintarXiv licencearXiv
Reflexive ideals of a numerical semigroup
Abstract
We study the reflexivity property of ideals in numerical semigroups. In particular, we characterize irreducible reflexive ideals and determine the Apéry set of a reflexive ideal. Moreover, we study how reflexivity allows us to characterize some classes of numerical semigroups and the interaction of reflexivity with the property of being a trace ideal.
Related
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BibTeX
@misc{campochiaro2026reflexive,
title = {{Reflexive ideals of a numerical semigroup}},
author = {P. Campochiaro and M. D'Anna and P. A. Garcia-Sanchez},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06426},
eprint = {2610.06426},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06426},
}
RIS
TY - UNPB
TI - Reflexive ideals of a numerical semigroup
AU - P. Campochiaro
AU - M. D'Anna
AU - P. A. Garcia-Sanchez
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06426
UR - https://arxiv.org/abs/2610.06426
AB - We study the reflexivity property of ideals in numerical semigroups. In particular, we characterize irreducible reflexive ideals and determine the Apéry set of a reflexive ideal. Moreover, we study how reflexivity allows us to characterize some classes of numerical semigroups and the interaction of reflexivity with the property of being a trace ideal.
ER -