Mathematical Research Letters

Volume 10, Issue 1, January 2003 pp. 51-56.

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

Authors: Ian M. Aberbach and Graham J. Leuschke
Author institution: University of Missouri, and University of Kansas

Summary: 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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