User honghao - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-26T07:19:03Zhttp://mathoverflow.net/feeds/user/12379http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/75667/question-about-modules-quotient-rings-and-polynomial-rings/75668#75668Answer by Honghao for Question about modules, quotient rings, and polynomial rings?Honghao2011-09-17T10:24:21Z2011-09-17T10:24:21Z<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>