An isomorphism theorem for Alexander biquandles
Quantum Algebra
2011-11-09 v2 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/0611887,
title = {An isomorphism theorem for Alexander biquandles},
author = {Daisy Lam and Sam Nelson},
journal= {arXiv preprint arXiv:math/0611887},
year = {2011}
}
Comments
10 pages. Version 2 includes changes suggested by referee, including a title change. To appear in Intl. J. Math