An isomorphism theorem for Alexander biquandles

Details An isomorphism theorem for Alexander biquandles An isomorphism theorem for Alexander biquandles

2006-11-28

arxiv.org/abs/math/0611887v2

Mathematics

Quantum Algebra

10 pages. Version 2 includes changes suggested by referee, including a title change. To appear in Intl. J. Math

Scientific paper

We show that two Alexander biquandles M and M' are isomorphic iff there is an
isomorphism of Z[s,1/s,t,1/t]-modules h:(1-st)M --> (1-st)M' and a bijection
g:O_s(A) --> O_s(A') between the s-orbits of sets of coset representatives of
M/(1-st)M and M'/(1-st)M' respectively satisfying certain compatibility
conditions.

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