Hossein Faridian

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math.AC2024

Bounds on Gorenstein Dimensions and Exceptional Complete Intersection Maps

Hossein Faridian

We prove that if $f : R \to S$ is a local homomorphism of noetherian local rings of finite flat dimension and $M$ is a non-zero finitely generated $S$ -module whose Gorenstein…

math.AC2023

Bounds on Injective Dimension and Exceptional Complete Intersection Maps

Hossein Faridian

We prove that if $f : R \to S$ is a local homomorphism of noetherian local rings, and $M$ is a non-zero finitely generated or artinian $S$ -module whose injective dimension ov…