# ApCoCoA-1:NC.Deg

From ApCoCoAWiki

This article is about a function from ApCoCoA-1. |

## NC.Deg

The standard degree of a polynomial in a non-commutative polynomial ring.

### Syntax

NC.Deg(F:LIST):INT

### 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

*F*: a non-commutative polynomial. 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 [].@return: an INT which represents the standard degree of F. Note that the standard degree of

`0`is 0.

#### Example

USE QQ[x[1..2],y[1..2]]; F1:= [[2x[1],x[2]], [13y[2]], [5]]; -- 2x[1]x[2]+13y[2]+5 NC.Deg(F1); 2 ------------------------------- NC.Deg([]); 0 -------------------------------

### See also