References & Citations
Mathematics > Commutative Algebra
Title: Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension
(Submitted on 2 May 2024 (v1), last revised 11 May 2024 (this version, v2))
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.
Submission history
From: Dipankar Ghosh [view email][v1] Thu, 2 May 2024 17:27:56 GMT (17kb)
[v2] Sat, 11 May 2024 06:10:18 GMT (17kb)
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