AN ISOMORPHISM THEOREM FOR ALEXANDER BIQUANDLES

被引：4
|
作者：
Lam, Daisy [1 ]
Nelson, Sam [1 ]
机构：
[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2009年 / 20卷 / 01期
关键词：
Knot invariants; finite biquandles; Alexander biquandles; invertible switches; FINITE BIQUANDLES; VIRTUAL KNOTS; LINKS; INVARIANTS; EQUATION;
D O I：
10.1142/S0129167X09005194
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that two Alexander biquandles M and M' are isomorphic if and only if there is an isomorphism of Z[s(+1), t(+1)]-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.
引用
收藏
页码：97 / 107
页数：11
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