Bounds on Injective Dimension and Exceptional Complete Intersection Maps

Autor:	Faridian, Hossein
Rok vydání:	2023
Předmět:	Mathematics - Commutative Algebra
Druh dokumentu:	Working Paper
Popis:	We prove that if $f:R \rightarrow S$ 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.13121 Zobrazit plný text záznamu View this record from Arxiv