most recent 30 from http://mathoverflow.net 2013-05-22T07:35:17Z http://mathoverflow.net/feeds/user/13160 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/56255/duals-and-tensor-products/56259#56259 mephisto 2011-02-22T09:02:42Z 2011-02-22T18:39:21Z

<p>It's true if one of the modules is finitely generated and projective. The canonical map from left to right is obviously an isomorphism when M is free of finite rank, and hence when M is a direct summand of a module that is free of finite rank. [Edit: Removed second sentence, which was irrelevant.]</p>

http://mathoverflow.net/questions/20386/mathematics-as-a-hobby mephisto 2011-02-24T05:21:06Z 2011-02-24T05:21:06Z

There are certainly material rewards for doing mathematics well, but they don't justify the effort required, so most mathematicians do it partly as a hobby. Once they retire, it becomes entirely a hobby. The advantage of doing mathematics as a hobby is that you can do exactly what you want to do --- whatever gives you most enjoyment.