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arXiv · 1911.11290

Test modules, weakly regular homomorphisms and complete intersection dimension

Ehsan Tavanfar
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Abstract

We prove that if a local ring admits a (pd-)test module of finite complete intersection dimension, then it is a complete intersection ring. This answers, positively, a question proposed by Celikbas, Dao and Takahashi. To this aim, we first investigate another question raised by Celikbas and Sather- Wagstaff concerning ascent properties of (pd-)test complexes under weakly regular homomorphisms.

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Ehsan Tavanfar. 2019-11-26. Test modules, weakly regular homomorphisms and complete intersection dimension. https://arxiv.org/abs/1911.11290

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