Quotient Modules and Direct Sums - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-23T07:55:55Z http://mathoverflow.net/feeds/question/60511 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/60511/quotient-modules-and-direct-sums Quotient Modules and Direct Sums Anthony 2011-04-04T01:44:11Z 2011-04-04T03:56:52Z <p>This might be really obvious but are the following two statements equivalent for modules (and in general any abstract algebras?): \$A/B \cong C\$ and \$A \cong B \oplus C\$</p>