The vanishing of Tor_1^R(R^+,k) implies that R is regular

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The vanishing of Tor_1^R(R^+,k) implies that R is regular

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10604

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Title: The vanishing of Tor_1^R(R^+,k) implies that R is regular
Author: Aberbach, Ian M.
Date: 2003-09-16
Abstract: Let (R,m,k) be an excellent local ring of positive prime characteristic. We show that if Tor_1^R(R^+,k) = 0 then R is regular. This improves a result of Schoutens, in which the additional hypothesis that R was an isolated singularity was required for the proof.
URI: http://hdl.handle.net/10355/10604

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