Much of modern algebra is characterized by 16 axioms. These axioms are typically defined with respect six common operations on a class C. The class C is usually, but not always, a set. In order to keep the discussion simple, we will restrict ourselves to algebras of scalars.
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An observant reader will notice that there is a problem with the definition of rings and fields in the above paper. I’ve been meaning to fix the problem for some time but I just haven’t gotten around to it. KBlott