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>> No.12577813 [View]
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12577813

>>12577670
Oh I did see a few things involving this functor, but with a [math]S[/math]-module or [math]S[/math]-algebra in place of [math]R[/math]. There are some adjoint relations with sorts of forgetful, extension of scalars and Hom functors but apparently I already forgot details again.
How did you learn your category theory in order to apply in algebra? I didn't like how rushed of a introduction some algebra books gave of it, so I read a bit of "Category Theory in Context".
>At least there is the whole field of commutative algebra to help you
I want to try thinking in both ways whenever I can so I'll be able to complement when I get stuck in one side, but actually doing is a whole another story... I hope I'll do my best!

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