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 .
See also Alexander Invariant, Alexander Matrix, Alexander Polynomial
References
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 206-207, 1976.