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August 2, 2024Communications in Algebra1 citationsOpen Access

Bounds on injective dimension and exceptional complete intersection maps

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HFHossein Faridian

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Abstract

We prove that if f:R→S is a local homomorphism of noetherian local rings, and M is a non-zero finitely generated or artinian S-module whose injective dimension over R is bounded by the difference of the embedding dimensions of R and S, then M is an injective S-module and f is an exceptional complete intersection map.

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Hossein Faridian (2024) studied this question.

synapsesocial.com/papers/68e5d9f4b6db643587570275https://doi.org/10.1080/00927872.2024.2381825
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