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It seems like you get most of this stuff from a basic abstract algebra course. How does category theory help me beyond what I got from modern algebra 101?

edit: this is from the perspective of someone who knows a little abstract algebra, and wonders if it would be sufficient to brush up on my algebra to get these ideas, which seem a little familiar, or if category theory is really important to get these ideas. I'm not trying to be a contrarian.



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