|
|||||
 |
|
|
|
|
|
|
|
Square-free
divisor complexes of certain numerical semigroup elements
Jackson Autry, Paige Graves, Jessie Loucks, Christopher O’Neill, Vadim Ponomarenko and Samuel Yih
Vol. 14 (2021), No. 1, 1–9
|
Abstract |
|
A numerical semigroup is an additive subsemigroup of the nonnegative integers with finite complement, and the square-free divisor complex of an element is a simplicial complex 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. |
PDF Access Denied
We have not been able to recognize your IP address
18.223.108.105
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 30.00:
Keywords
nonunique factorization, numerical semigroup, square-free
divisor complex, simplicial complex
|
Mathematical Subject Classification 2010
Primary: 13D02, 20M13, 20M14
|
Milestones
Received: 1 May 2018
Revised: 17 August 2020
Accepted: 15 September 2020
Published: 4 March 2021
Communicated by Kenneth S. Berenhaut
|
Authors |
| Jackson Autry | |
| Department of Mathematics San Diego State University San Diego, CA United States |
|
| Paige Graves | |
| Department of Mathematics University of La Verne La Verne, CA United States |
|
| Jessie Loucks | |
| Department of Mathematics Sacramento State University Sacramento, CA United States |
|
| Christopher O’Neill | |
| Department of Mathematics and
Statistics San Diego State University San Diego, CA United States |
|
| Vadim Ponomarenko | |
| Department of Mathematics and
Statistics San Diego State University San Diego, CA United States |
|
| Samuel Yih | |
| Department of Mathematics Pomona College Claremont, CA United States |
|
