A. Adams

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math.CO2020

A colorful Hochster formula and universal parameters for face rings

Ashleigh Adams, Victor Reiner

This paper has two related parts. The first generalizes Hochster's formula on resolutions of Stanley-Reisner rings to a colorful version, applicable to any proper vertex-coloring o…

math.CO2019

Classifications of $ℓ$ -Zero-Sumfree Sets

Ashleigh Adams, Carole Hall, Eric Stucky

The set of all $ℓ$ -zero-sumfree subsets of $Z / n Z$ is a simplicial complex denoted by $Δ_{n, ℓ}$ We create an algorithm via defining a set of integer partitio…

A colorful Hochster formula and universal parameters for face rings

Classifications of ℓ-Zero-Sumfree Sets

Classifications of $ℓ$ -Zero-Sumfree Sets