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### kernel of cokernel is cokernel of kernel [duplicate]

Possible Duplicate: Equivalent conditions for a preabelian category to be abelian Let $\mathcal{C}$ be an abelian category, and consider an arrow $f:A\rightarrow B$. In a number of sources (Vakil'...
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### $\overline{f}$ is isomorphism in abelian category
Suppose $f: A \longrightarrow B$ is a morphism in an abelian category $\mathcal{C}$. What I consider an abelian category: $\mathcal{C}$ is additive. Every morphism has a kernel and a cokernel. Every ...