3 problems
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The epsilon-condition conjecture for noetherian AS Gorenstein algebras
The epsilon-condition conjecture. All reasonable noetherian Artin-Schelter Gorenstein algebras satisfy the epsilon-condition.
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Brown's conjecture that noetherian Hopf algebras are AS Gorenstein
Brown's conjecture. Every noetherian Hopf algebra is AS Gorenstein.
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The homological determinant conjecture for Nakayama automorphisms of AS Gorenstein algebras
Homological determinant conjecture. The identity above holds for every noetherian connected graded AS Gorenstein algebra. This extends the proved result for noetherian connected gr…