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arxiv: 1301.2381 · v2 · pith:K377QORKnew · submitted 2013-01-11 · 🧮 math.AC · math.AG

Dual F-signature

classification 🧮 math.AC math.AG
keywords f-signaturedualbasecharacterizationsdefineequivalentf-rationalf-regular
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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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