Difficult: I am confused because the definition of a ring is a nonempty set R equipped with two operations and in most cases that is addition and subtraction, but then there is the commutative ring that looks like it just has to satisfy multiplication. So what is necessary for something to be a ring and can something be called a "ring" in general if it is just commutative?
Interesting: I thought it was interesting that the idea of rings can be applied to things that may not be numbers or number classes.
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