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.
Citation
Ehsan Tavanfar. "TEST MODULES, WEAKLY REGULAR HOMOMORPHISMS AND COMPLETE INTERSECTION DIMENSION." J. Commut. Algebra 15 (3) 417 - 455, Fall 2023. https://doi.org/10.1216/jca.2023.15.417
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