Noncommutative Auslander theorem

J. J. Zhang; J.-W. He; Y.-H. Bao

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Noncommutative Auslander theorem

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arxiv 1607.06955 v4 pith:VGEIWYCZ submitted 2016-07-23 math.RA

Y.-H. Bao , J.-W. He , J. J. Zhang This is my paper

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keywords algebrasauslanderfinitegradednoetheriannoncommutativetheoremclasses

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A version of Auslander theorem is proven for the following classes of noncommutative algebras: (a) noetherian PI local (or connected graded) algebras of finite injective dimension, (b) universal enveloping algebras of finite dimensional Lie algebras, and (c) noetherian graded down-up algebras.

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