We investigate embeddings from the set of long flat virtual knot diagrams to the set of long virtual knot diagrams so that we can construct invariants for long flat virtual knots. Also, we give properties and examples of several invariants for long flat virtual knots via these embeddings and invariants for long virtual knots.

中文翻译：

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从长扁平虚拟结集到长虚拟结集的嵌入和应用

我们研究从长扁平虚拟结图集到长虚拟结图集的嵌入，以便我们可以构造长扁平虚拟结的不变量。此外，我们通过这些嵌入和长虚拟结的不变量给出了长扁平虚拟结的几个不变量的属性和示例。