Can someone convince me why it is a good idea (apart from convenience)
that degree(0) returns the unit from the exponent domain?

According to the usage in FriCAS' sources it must be common knowledge,
but if I consider a graded ring, then 0 lives in every grade, so it
should be undefined what "degree(0)" returns or at least we should have
a note in the documentation that degree(0)=1 to make it unquestionable.

http://fricas.github.io/api/AbelianMonoidRing.html#l-abelian-monoid-ring-degree

http://fricas.github.io/api/GradedModule.html#l-graded-module-degree

Ralf

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