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Category Theory For Beginners - 6 [entire topic moved to new forum]

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Suppose that \( \mathcal{C} \) is a category with a zero object. Suppose that the morphism \( a \) is the kernel of a morphism \( \displaystyle \gamma : X \longrightarrow Y \). Show that if coker(\( a \)) exists, then \( a = \) ker(coker \( a \)).

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