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arXiv 2013-12-20 0 views

On the Lowey length of modules of finite projective dimension

Puthenpurakal, Tony J.

Original · EN

Let (A,m) be a local Gorenstein local ring and let M be an A module of finite length and finite projective dimension. We prove that the Lowey length of M is greater than or equal to order of A. This generalizes a result of Avramov, Buchweitz, Iyengar and Miller

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