A = QQ{x,y}This is the type of a noncommutative polynomial ring over a commutative ring R (i.e. a tensor algebra over R). It has parent type NCRing.
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The object NCPolynomialRing is a type, with ancestor classes NCRing < Ring < Type < MutableHashTable < HashTable < Thing.
The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/NCAlgebra/NCAlgebraDoc.m2:243:0.