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math.QA2022
Symmetries of algebras captured by actions of weak Hopf algebras
Fabio Calderón, Hongdi Huang, Elizabeth Wicks +1
In this paper, we present a generalization of well-established results regarding symmetries of -algebras, where is a field. Traditionally, for a -algebra ,…
math.RA2022
Weighted homological regularities
Ellen Kirkman, Robert Won, James J. Zhang
Let be a noetherian connected graded algebra. We introduce and study homological invariants that are weighted sums of the homological and internal degrees of cochain complexes…
math.RA2022★ 2 cited
Weight modules over Bell--Rogalski algebras
Jason Gaddis, Daniele Rosso, Robert Won
We study a class of -graded algebras introduced by Bell and Rogalski. Their construction generalizes in large part that of rank one generalized Weyl algebras (GWAs). We…