Translator Disclaimer
2021 Square-free divisor complexes of certain numerical semigroup elements
Jackson Autry, Paige Graves, Jessie Loucks, Christopher O’Neill, Vadim Ponomarenko, Samuel Yih
Involve 14(1): 1-9 (2021). DOI: 10.2140/involve.2021.14.1

Abstract

A numerical semigroup S is an additive subsemigroup of the nonnegative integers with finite complement, and the square-free divisor complex of an element mS is a simplicial complex Δm that arises in the study of multigraded Betti numbers. We compute square-free divisor complexes for certain classes numerical semigroups, and exhibit a new family of simplicial complexes that occur as the square-free divisor complex of some numerical semigroup element.

Citation

Download Citation

Jackson Autry. Paige Graves. Jessie Loucks. Christopher O’Neill. Vadim Ponomarenko. Samuel Yih. "Square-free divisor complexes of certain numerical semigroup elements." Involve 14 (1) 1 - 9, 2021. https://doi.org/10.2140/involve.2021.14.1

Information

Received: 1 May 2018; Revised: 17 August 2020; Accepted: 15 September 2020; Published: 2021
First available in Project Euclid: 22 April 2021

Digital Object Identifier: 10.2140/involve.2021.14.1

Subjects:
Primary: 13D02 , 20M13 , 20M14

Keywords: nonunique factorization , numerical semigroup , simplicial complex , square-free divisor complex

Rights: Copyright © 2021 Mathematical Sciences Publishers

JOURNAL ARTICLE
9 PAGES

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

SHARE
Vol.14 • No. 1 • 2021
MSP
Back to Top