For TaylorSeries some results are exact, and it is easier to control
  approximation error.

It's still not a Ring.

Hm, but when removing "=", it is a ring, no?

Good. Then tell me what a "ring" is. You can restrict to "multiplicative monoid" if you like. To clarify what we are talking about, tell me what "MartinMonoid" is and how it relates to http://en.wikipedia.org/wiki/Monoid#Definition .

Ralf

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