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Quandle (knot theory)
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In mathematics, a rack and a quandle in knot theory are sets with a binary operation mimicking the three Reidemeister moves of diagram manipulation.
Suppose that the binary operation is written a * b. Then the three laws for a quandle are
- a * a = a
is a bijection for all a
- (a * b) * c = (a * c) * (b * c)
A rack is more general than a quandle: it satisfies only the two last laws.
An alternative definition of a rack is that it is a set with a binary operation in which multiplication on one side is an automorphism.
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details