Maybe an alternative viewpoint  (perhaps taken by Axiom, and maybe
Sage) is

(a) if you want to use a computer algebra system (especially one
accessed through Sage) effectively  then
(b) you should know something about "modern algebra", at least so as
to be conversant with the notions
of ring, field, polynomial, ...  and preliminary notions.  This could
take about an hour of reading,
especially if you leave out proofs.

RJF

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