Projectively splitting module - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T17:21:18Z http://mathoverflow.net/feeds/question/49187 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/49187/projectively-splitting-module Projectively splitting module ashpool 2010-12-12T23:34:32Z 2010-12-12T23:45:22Z <p>Is there a name for such class of modules $M$ such that $M\rightarrow N\rightarrow 0$ splits for every $N$ ?</p> http://mathoverflow.net/questions/49187/projectively-splitting-module/49188#49188 Answer by Steven Landsburg for Projectively splitting module Steven Landsburg 2010-12-12T23:45:22Z 2010-12-12T23:45:22Z <p>These are the semisimple modules. ("Semisimple" is usually defined by the condition that every injection into M splits, but that's clearly equivalent to your condition.)</p>