The order ideal in 
, the ring of integral laurent
polynomials, associated with an Alexander matrix
for a knot 
. Any generator of a principal Alexander ideal is called an
Alexander polynomial. Because the Alexander
invariant of a tame knot in 
has a square presentation
matrix, its Alexander ideal is principal and
it has an Alexander polynomial 
.
Alexander Ideal
See also
Alexander Invariant, Alexander Matrix, Alexander PolynomialExplore with Wolfram|Alpha
References
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 206-207, 1976.Referenced on Wolfram|Alpha
Alexander IdealCite this as:
Weisstein, Eric W. "Alexander Ideal." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlexanderIdeal.html