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Q-Gorenstein splinter rings of characteristic p are F-regular | Anurag K. Singh
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5 Oct 2002 | Journal: | Mathematical Proceedings of the Cambridge Philosophical Society 127 (1999), 201-205 | Subject: | Commutative Algebra MSC-class: 13A35; 13H10 | math.AC | 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. | Source: | arXiv, math.AC/0210074 | Services: | Forum | Review | PDF | Favorites |
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