2 problems

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The conjecture on standard Hilbert series and generator bounds for Artin–Schelter regular algebras
Let $A$ be an Artin–Schelter regular algebra of global dimension $d$ . Consider the properties that $A$ is a noetherian domain, that its Hilbert series has the form … for positive i…
Conjectureopenartin-schelter-regular-algebras gk-dimension hilbert-seriesarXiv posted 2 days ago
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Structure conjecture for prime Hopf algebras of GK-dimension one
Let $H$ be a prime Hopf algebra of GK-dimension one. An exact sequence of Hopf algebras is a sequence consisting of Hopf algebra morphisms with the usual exactness property. Here,…
Conjectureopenalgebraic-groups gk-dimension hopf-algebrasarXiv posted 2 days ago

The conjecture on standard Hilbert series and generator bounds for Artin–Schelter regular algebras