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I have touched the formatting at direct sum and then expanded a little:
Added a paragraph to the Idea-section such that something familiar is mentioned right at the beginning;
Expanded on the example of direct sums in $Ab$ by drawing the cocone diagrams and explicitly mentioning the universal property.
Mentioned the relation to formal linear combinations.
Mentioned the examples of direct sums of modules.
Here are some things I think are true relating these notions to the finite biproducts and infinite coproducts in additive categories.
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