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• W2161144758 abstract "Let A be a field and C a noetherian A-algebra such that C q is a quotient ring of an equicharacteristic local regular ring for each prime ideal q of C We prove that if C is geometrically reduced over A and Ω C/A is flat, then C is regular. We apply this result to prove that a reduced ring homomorphism u :A→C is regular when Ω C/A is a flat C-module and C is a complete noetherian local ring or a Nagata local ring. We also study the property of C being locally a complete intersection ring when the flat dimension of Ω C/A finite." @default.
• W2161144758 created "2016-06-24" @default.
• W2161144758 creator A5033967879 @default.
• W2161144758 date "1999-01-01" @default.
• W2161144758 modified "2023-09-27" @default.
• W2161144758 title "An application of the cotangent complex to regularity and complete intersection" @default.
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• W2161144758 doi "https://doi.org/10.1080/00927879908826814" @default.
• W2161144758 hasPublicationYear "1999" @default.
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