# Operations on Nearfields

## `N eq M: NfdDck, NfdDck -> BoolElt`

## `N ne M: NfdDck, NfdDck -> BoolElt`

## `#N: Nfd -> RngIntElt`

## `Cardinality(N): Nfd -> RngIntElt`

The cardinality of the nearfield $N$.

## `Random(N): Nfd -> NfdElt`

A random element of the nearfield $N$.

## `Identity(N): Nfd -> NfdElt`

The multiplicative identity of the nearfield $N$.

## `Zero(N): Nfd -> NfdElt`

The additive identity of the nearfield $N$.

## `PrimeField(N): Nfd -> FldFin`

The prime field of the nearfield $N$.

## `Kernel(N): Nfd -> FldFin`

Return the kernel of the nearfield $N$ as a finite field.