E. Kirkman

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math.RA2025

Homological regularities and concavities

Ellen Kirkman, Robert Won, James J. Zhang

This paper concerns homological notions of regularity for noncommutative algebras. Properties of an algebra $A$ are reflected in the regularities of certain (complexes of) $A$ -modu…

math.RA2024

Some Artin-Schelter Regular Algebras From Dual Reflection Groups and their Geometry

Peter Goetz, Ellen E. Kirkman, W. Frank Moore +1

Let $G$ be a group coacting on an Artin-Schelter regular algebra $A$ homogeneously and inner-faithfully. When the identity component $A_{e}$ is also Artin-Schelter regular, providing…