Q-Gorenstein splinter rings of characteristic p are F-regular
Commutative Algebra
2009-11-07 v1
Abstract
An integral domain R is said to be a splinter if it is a direct summand, as an R-module, of every module-finite extension ring. Hochster's direct summand conjecture is precisely the conjecture that every regular local ring is a splinter. An integral domain containing the rational numbers is a splinter if and only if it is a normal ring, but the notion is more subtle for rings of positive characteristic: F-regular rings are splinters, and Hochster and Huneke proved that the converse is true for Gorenstein rings. We extend their result by showing that Q-Gorenstein splinters of positive characteristic are F-regular.
Keywords
Cite
@article{arxiv.math/0210074,
title = {Q-Gorenstein splinter rings of characteristic p are F-regular},
author = {Anurag K. Singh},
journal= {arXiv preprint arXiv:math/0210074},
year = {2009}
}