most recent 30 from http://mathoverflow.net 2013-06-18T06:07:50Z http://mathoverflow.net/feeds/question/29629 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/29629/simple-motivating-example-of-non-isomorphic-homomorphism Reverend Paco 2010-06-26T18:07:16Z 2010-06-26T18:07:16Z

<p>I am in the process of teaching myself Abstract Algebra. I understand the technical definition that an isomorphism is an invertible homomorphism (a one-to-one correspondence).</p> <p>It would be great if someone can give me an extremely simple example of a homorphism that is not isomorphic. Maybe a mapping that is surjective but not injective. </p>