Definition:Polynomial Ring/Also defined as
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Polynomial Ring: Also defined as
It is common for an author to define the polynomial ring using a specific construction, and refer to other constructions as a polynomial ring.
At $\mathsf{Pr} \infty \mathsf{fWiki}$ we deliberately do not favor any construction.
All the more so because at some point it becomes irrelevant.
It is also common to call any ring which is isomorphic to a polynomial ring a polynomial ring.
For the precise meaning of this, see Ring Isomorphic to Polynomial Ring is Polynomial Ring.