Tensor products not left exact - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-05-23T10:19:06Zhttp://mathoverflow.net/feeds/question/89286http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/89286/tensor-products-not-left-exactTensor products not left exactAlan Lee2012-02-23T14:36:25Z2012-02-23T14:36:25Z
<p>Is there a simple example that shows that the functor $B\otimes_R(-)$ is not left exact, given a ring $R$ and a right $R$-module $B$?</p>