Accession Number:

AD1021716

Title:

Perfect Bricks of Every Size

Descriptive Note:

Journal Article - Open Access

Corporate Author:

U.S. Air Force Academy Air Force Academy United States

Personal Author(s):

Report Date:

2013-08-22

Pagination or Media Count:

21.0

Abstract:

We answer an open question from a previous investigation related to numerical semigroups. For integers k, n greater or equal to 2 we prove the existence of a numerical semigroup S and a relative ideal I such that the size of the minimal generating set for I is k, the size of the minimal generating set for the dual, S-I, is n, and the size of the minimal generating for the ideal sum I S-I is nk.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE