# ApCoCoA-1:NC.FindPolys

## NC.FindPolys

Find polynomials with specified indeterminates from a LIST of non-commutative polynomials.

### Syntax

NC.FindPolys(Polys:LIST, Inds:LIST):LIST

### Description

Please set non-commutative polynomial ring (via the command Use) before calling this function. For more information, please check the relevant commands and functions.

@param

*Polys*: a LIST of non-commutative polynomials. Each polynomial is represented as a LIST of LISTs, and each element in every inner LIST involves only one indeterminate or none (a constant). For example, the polynomial`f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5`is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial`0`is represented as the empty LIST [].@param

*Inds*: a LIST of specified indeterminates.@return: a LIST of non-commutative polynomials whose indeterminates are in Inds.

#### Example

USE QQ[x[1..2],y[1..2]]; F1:= [[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3]]; -- 2x[1]y[1]x[2]^2-9y[2]x[1]^2x[2]^3 F2:= [[2x[1],x[2]^2], [x[2]^3],[4]]; -- 2x[1]x[2]^2+x[2]^3+4 NC.FindPolys([F1,F2],[x[1],x[2]]); [[[2x[1], x[2]^2], [x[2]^3], [4]]] -------------------------------

### See also