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math.KT2008★ 18 cited
Hochschild homology and global dimension
Petter Andreas Bergh, Dag Madsen
We prove that for certain classes of graded algebras (Koszul, local, cellular), infinite global dimension implies that Hochschild homology does not vanish in high degrees, provided…
math.KT2004★ 1 cited
Finite Hochschild cohomology without finite global dimension
R. -O. Buchweitz, E. L. Green, D. Madsen +1
Dieter Happel asked the following question: If the -th Hochschild cohomology group of a finite dimensional algebra over a field vanishes for all sufficiently large , is t…