Take any book on homological algebra, and prove all the theorems without looking at the proofs given in the book.

Homological algebra was invented by Eilenberg-MacLane. General category
theory (i. e. the theory of arrow-theoretic results) is generally known
as **abstract nonsense** (the terminology is due to Steenrod).

*S. Lang, Algebra, 2nd edition, p. 175.*

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