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arXiv · 2209.15630

Indecomposable pure-injective objects in stable categories of Gorenstein-projective modules over Gorenstein orders

Tsutomu Nakamura
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Abstract

We give a result of Auslander-Ringel-Tachikawa type for Gorenstein-projective modules over a complete Gorenstein order. In particular, we prove that a complete Gorenstein order is of finite Cohen-Macaulay representation type if and only if every indecomposable pure-injective object in the stable category of Gorenstein-projective modules is compact.

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Tsutomu Nakamura. 2022-09-30. Indecomposable pure-injective objects in stable categories of Gorenstein-projective modules over Gorenstein orders. https://arxiv.org/abs/2209.15630

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