Translator Disclaimer
2019 Star operations on numerical semigroups: antichains and explicit results
Dario Spirito
J. Commut. Algebra 11(3): 401-431 (2019). DOI: 10.1216/JCA-2019-11-3-401

Abstract

We introduce an order on the set of nondivisorial ideals of a numerical semigroup $S$, and link antichains of this order with the star operations on $S$; subsequently, we use this order to find estimates on the number of star operations on $S$. We then use them to find an asymptotic estimate on the number of nonsymmetric numerical semigroups with $n$ or less star operations, and to determine these semigroups explicitly when $n=10$.

Citation

Download Citation

Dario Spirito. "Star operations on numerical semigroups: antichains and explicit results." J. Commut. Algebra 11 (3) 401 - 431, 2019. https://doi.org/10.1216/JCA-2019-11-3-401

Information

Published: 2019
First available in Project Euclid: 3 December 2019

zbMATH: 07140754
MathSciNet: MR4038057
Digital Object Identifier: 10.1216/JCA-2019-11-3-401

Subjects:
Primary: 20M12
Secondary: 20M14

Keywords: numerical semigroups , Star operations

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
31 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.11 • No. 3 • 2019
Back to Top