Mathematical Research Letters

Volume 10 (2003)

Number 1

The $F$-signature and strong $F$-regularity

Pages: 51 – 56

DOI: http://dx.doi.org/10.4310/MRL.2003.v10.n1.a6

Authors

Ian M. Aberbach (University of Missouri)

Graham J. Leuschke (University of Kansas)

Abstract

We show that the $F$-signature of a local ring of characteristic $p$, defined by Huneke and Leuschke, is positive if and only if the ring is strongly $F$-regular.

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