User honghao - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T07:19:03Z http://mathoverflow.net/feeds/user/12379 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/75667/question-about-modules-quotient-rings-and-polynomial-rings/75668#75668 Answer by Honghao for Question about modules, quotient rings, and polynomial rings? Honghao 2011-09-17T10:24:21Z 2011-09-17T10:24:21Z <p>I do not think you can map a module over a smaller ring into a module over a larger ring in this case.<code>$\phi(rx)=r\phi(x)$</code> will not satisfy.</p>