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On the number of indecomposable totally reflexive modules

Ryo Takahashi
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Abstract

In this note, it is proved that over a commutative noetherian henselian non-Gorenstein local ring there are infinitely many isomorphism classes of indecomposable totally reflexive modules, if there is a nonfree cyclic totally reflexive module.

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Ryo Takahashi. 2006-09-25. On the number of indecomposable totally reflexive modules. https://arxiv.org/abs/math/0607315

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