I am suddenly faced with an all consuming beast that is modern algebra.
I have just looked into definitions of the determinant for linear tranformations on real vector spaces. Now I’m delving into the determinant for commutative rings. I find when I’m reading up on things I am constantly asking myself “what the fuck does that mean?”
Time to learn about fields, rings, modules, tensor products, exterior products. bla bla.
The grand goal so far is a general definition of the determinants which applies for non-commutative rings, and the nicer more friendly algebras. There is one, but I can’t follow it at all.
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