MathSciNet bibliographic data MR2085149 (2005f:13004) 13A35 (13D07) Aberbach, Ian M. The vanishing of ${\rm Tor}\sp R\sb 1(R\sp +,k)$${\rm Tor}\sp R\sb 1(R\sp +,k)$ implies that $R$$R$ is regular. Proc. Amer. Math. Soc. 133 (2005), no. 1, 27–29 (electronic). Article

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