Hi everyone,
   Now that https://trac.sagemath.org/ticket/32324 is positively reviewed, 
I was wondering if there would be any opposition to replacing the current 
LazyPowerSeriesRing with the next LazyTaylorSeriesRing. This is already 
happening as the backend for species in 
https://trac.sagemath.org/ticket/32367. Are there any features missing that 
people want from LazyPowerSeries?

I should also point out that the framework on 
https://trac.sagemath.org/ticket/32324 also easily allows us to work with 
formal infinite series over any graded algebra (at least where each graded 
piece is a finite sum of elements). I plan on doing the slight refactoring 
and adding a noncommutative Cauchy product stream to the code to support 
this somewhat soon for some computations I need.

Best,
Travis

PS - Side question: Do we have q-commuting polynomials as a graded algebra 
in Sage? I don't think so, but perhaps there is an easy way to construct 
it. I know in 2 variables, I can build it as a SkewPolynomialRing in y over 
R['x'], but this it doesn't have the right grading.

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