QUANDLE HOMOMORPHISMS OF KNOT QUANDLES TO ALEXANDER QUANDLES
QUANDLE HOMOMORPHISMS OF KNOT QUANDLES TO ALEXANDER QUANDLES
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KNOT QUANDLES 到 ALEXANDER QUANDLES 的 QUANDLE 同态
DOI：
10.1142/s0218216501001177
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发表时间：
2001
影响因子：
0.5
通讯作者：
Ayumu Inoue
中科院分区：
文献类型：
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作者：
Ayumu Inoue
Quandle是具有满足某些性质的二元运算的集合。Quandle同态是Quandle之间保持其二元运算结构的映射。一个结决定了一种叫做结的困惑。我们证明了纽结的纽结到Alexander Quandle的所有Quandle同态的个数完全由该纽结的Alexander多项式决定。进一步，我们证明了纽结Quandle到Alexander Quandle的所有Quandle同态的集合具有模结构。
A quandle is a set with a binary operation satisfying some properties. A quandle homomorphism is a map between quandles preserving the structure of their binary operations. A knot determines a quandle called a knot quandle. We show that the number of all quandle homomorphisms of a knot quandle of a knot to an Alexander quandle is completely determined by Alexander polynomials of the knot. Further we show that the set of all quandle homomorphisms of a knot quandle to an Alexander quandle has a module structure.