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math.AC2018
A converse to a construction of Eisenbud-Shamash
Petter A. Bergh, David A. Jorgensen, W. Frank Moore
Let be a commutative local Noetherian ring, a -regular sequence in , and . Given a complex of finitely gen…
math.RA2018
Three infinite families of reflection Hopf algebras
Luigi Ferraro, Ellen Kirkman, W. Frank Moore +1
Let be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra , homogeneously, inner-faithfully, preserving the grading on , and so that is an -modu…
math.RA2018
Noncommutative Knörrer periodicity and noncommutative Kleinian singularities
Andrew Conner, Ellen Kirkman, W. Frank Moore +1
We establish a version of Knörrer's Periodicity Theorem in the context of noncommutative invariant theory. Namely, let be a left noetherian AS-regular algebra, let be a nor…