- Is the concept of rational functions in one indeterminate useful in algebra?
Main Question or Discussion Point
The examples of "formal" power series and polynomials in one indeterminate are familiar and useful in algebra. However, I don't recall the example of rational functions (ratios of polynomials) in one indeterminate being used for anything. Is that concept useful? - or trivial? -or equivalent to something that's called by a different name?