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Alexander Ideal


The order ideal in Lambda, the ring of integral laurent polynomials, associated with an Alexander matrix for a knot K. Any generator of a principal Alexander ideal is called an Alexander polynomial. Because the Alexander invariant of a tame knot in S^3 has a square presentation matrix, its Alexander ideal is principal and it has an Alexander polynomial Delta(t).


See also

Alexander Invariant, Alexander Matrix, Alexander Polynomial

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References

Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 206-207, 1976.

Referenced on Wolfram|Alpha

Alexander Ideal

Cite this as:

Weisstein, Eric W. "Alexander Ideal." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlexanderIdeal.html

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