MathDBBrown-Goodearl conjecture on noetherian Hopf algebras
Brown-Goodearl conjecture on noetherian Hopf algebras
A noetherian Hopf algebra is a Hopf algebra satisfying the ascending chain condition on left and right ideals. Brown-Goodearl conjecture. Every noetherian Hopf algebra is Artin–Schelter Gorenstein. This question concerns whether the Gorenstein behavior observed for many noetherian affine Hopf algebras extends to all noetherian Hopf algebras; the supplied text does not state whether it has been resolved.
Sources & referencesView supporting material
Primary source
Ruipeng Zhu, “Artin-Schelter Gorenstein property of Hopf Galois extensions”, arXiv:2501.02828 (2025).
Additional references
2 papers in this index state this conjecture (2020–2025). The statement above is taken from the most recent of them; the others are arXiv:2003.14251.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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