Homology of conductor

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arxiv 2404.02005 v1 pith:REXOXLG7 submitted 2024-04-02 math.AC

Mohsen Asgharzadeh This is my paper · ORCID

classification math.AC

keywords conductorhomologicalhomologyidealpropertiessome

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We study some homological properties of the conductor ideal.

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Trace ideals, conductors, and ideals of finite (phantom) projective dimension
math.AC 2025-01 conditional novelty 8.0 of 10

The paper unifies and extends several non-containment results for trace and test ideals, and answers an open question of Huneke-Swanson with an explicit counterexample.