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math.AC2026
On embeddings of rings into their canonical modules
Tran Nguyen An, Shinya Kumashiro, Mouma Samanta
We study embeddings of Cohen--Macaulay local rings into their canonical modules such that the quotient of the cokernel by a regular sequence has the residue field as a direct summa…
math.AC2025
Complexity and curvature of pairs of Burch modules and ideals
Souvik Dey, Dipankar Ghosh, Mouma Samanta
The complexity and curvature of a module were first introduced by Avramov to distinguish modules of infinite homological dimension. Later, Avramov-Buchweitz extended the notion of…
math.AC2024
Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension
Dipankar Ghosh, Mouma Samanta
Over a commutative Noetherian ring, we show that the Auslander-Reiten conjecture holds true for the class of (finitely generated) modules whose dual has finite complete intersectio…