Prove that ( 0 \to A \xrightarrow\alpha B \xrightarrow\beta C \to 0 ) splits if and only if there exists a homomorphism ( \gamma: C \to B ) such that ( \beta \circ \gamma = \textid_C ).
Applying the Isomorphism Theorems in the context of modules. Dummit And Foote Solutions Chapter 10.zip
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