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List / NCRingMap -- Applies an NCRingMap to each element of a list

Synopsis

Description

This operation is the same thing as apply(L,x->f(x)). Note that the operation is left associative.

i1 : A = QQ{x,y}

o1 = A

o1 : NCPolynomialRing
i2 : f = ncMap(A,A,{x^2,y^2})

o2 = NCRingMap A <--- A

o2 : NCRingMap
i3 : g = ncMap(A,A,{x+y,y})

o3 = NCRingMap A <--- A

o3 : NCRingMap
i4 : gens A/f/g

       2        2   2
o4 = {y +yx+xy+x , y }

o4 : List
i5 : gens A/g/f

       2  2   2
o5 = {y +x , y }

o5 : List

Ways to use this method: