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arXiv · 1312.5832

On the Lowey length of modules of finite projective dimension

Tony J. Puthenpurakal
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Abstract

Let $(A,\mathfrak{m})$ 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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Tony J. Puthenpurakal. 2013-12-20. On the Lowey length of modules of finite projective dimension. https://arxiv.org/abs/1312.5832

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