May 2, 2024Open Access

Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension

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Abstract

Over a commutative Noetherian ring, we show that Auslander-Reiten conjecture holds true for the class of (finitely generated) modules whose dual has finite complete intersection dimension. Our another result validates the conjecture for the class of modules whose self dual has finite complete intersection dimension and either the module or its dual has finite Gorenstein dimension.

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Cite This Study

Ghosh et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6beabb6db64358763ee44 https://doi.org/https://doi.org/10.48550/arxiv.2405.01497

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