Constructing 2 × 2 Bricks from Unitary Numerical Semigroups

doi:10.1080/00927872.2013.774408

beta

Constructing 2 × 2 Bricks from Unitary Numerical Semigroups

Trae D. Holcomb

Mar 13, 2014

Citations

Journal

Communications in Algebra

Full text

Semantic Scholar

Key Takeaway

Key Takeaway: This paper demonstrates the existence of an infinite family of 2 2 bricks from unitary numerical semigroups, providing a formula for their Frobenius numbers and a necessary and sufficient condition for them to be symmetric.

Abstract

This paper investigates numerical semigroups that yield 2 × 2 bricks. We demonstrate the existence of an infinite family of 2 × 2 bricks that includes all of the perfect 2 × 2 bricks. We provide a formula for the Frobenius numbers of these semigroups as well as a necessary and sufficient condition for the semigroups to be symmetric.

Text copied to clipboard

copied to clipboard