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

页码：97 / 107

页数：11