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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 $A \cong B \oplus C$

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 Hint: try $A=\mathbb Z$. I am voting to close, your question is not a right fit for this site. See the FAQ for better sites to try your question. – Hailong Dao Apr 4 2011 at 1:49
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 See en.wikipedia.org/wiki/Splitting_lemma. I'm afraid this is not appropriate for MathOverflow; try asking on math.stackexchange.com instead. – Zev Chonoles Apr 4 2011 at 1:50

closed as too localized by Hailong Dao, Igor Rivin, Zev Chonoles, Andres Caicedo, Yemon Choi Apr 4 2011 at 1:59

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