An isomorphism theorem for Alexander biquandles
نویسندگان
چکیده
We show that two Alexander biquandles M and M ′ are isomorphic iff there is an isomorphism of Z[s, t]-modules h : (1− st)M → (1− st)M ′ and a bijection g : Os(A) → Os(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.
منابع مشابه
Classification of finite Alexander biquandles
We show that two finite Alexander biquandles M and M ′ are isomorphic iff there is an isomorphism of Z[s, t]-modules h : (1 − st)M → (1 − st)M ′ and a bijection g : Os(A) → Os(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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