English

The F-signature and strong F-regularity

Commutative Algebra 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0208067,
  title  = {The F-signature and strong F-regularity},
  author = {Ian M. Aberbach and Graham J. Leuschke},
  journal= {arXiv preprint arXiv:math/0208067},
  year   = {2007}
}

Comments

revised version, incorporating referee's comments. 6 pages