Associates( r )
Associates( R, r )
In the first form Associates returns the set of associates of the ring
element r in its default ring (see DefaultRing). In the second form
Associates returns the set of associates of r in the ring R.
Two elements r and s of a ring R are called associate if there is a unit u of R such that r u = s.
gap> Associates( Integers, 17 );
[ -17, 17 ]
Associates calls R.operations.Associates( R, r ) and returns
the value.
The default function called this way is RingOps.Associates, which
multiplies the set of units of R with the element r, and returns the
set of those elements. Special categories of rings overlay this default
function with more efficient functions.
GAP 3.4.4