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AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES
Published online by Cambridge University Press: 30 August 2013
Abstract
Let A be an artin algebra with representation dimension not more than 3. Assuming that AV is an Auslander generator and M ∈ addAV, we show that both findim(EndAM) and findim(EndAM)op are finite, and consequently the Gorenstein symmetry conjecture, the Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for EndAM.
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- Copyright © Glasgow Mathematical Journal Trust 2013
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