Dual F-signature

2013/01/11 by Akiyoshi Sannai, Sannai, Akiyoshi
Mathematics · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1301.2381

openalex publication_date 2013/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the dual F-signature of modules, which is equivalent to the F-signature if the module is the base ring. By using this invariant, We give characterizations of regular, F-regular, F-rational, and Gorenstein singularities.

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