Tensor products not left exact - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-23T10:19:06Z http://mathoverflow.net/feeds/question/89286 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/89286/tensor-products-not-left-exact Tensor products not left exact Alan Lee 2012-02-23T14:36:25Z 2012-02-23T14:36:25Z <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>