Algebraic methods to establish the identification of structural equation models remain a viable option. However, sometimes it is unclear whether the algebraic solution establishes identification. One example is when there is more than one way to solve for the parameter, but one way leads to a single value and a second way leads to a function with more than one value. This article proves that one explicit and unique solution is sufficient for model identification even when other explicit solutions permit more than one solution. The results are illustrated with an example. The results are useful to attempts to use algebraic means to address model identification.

中文翻译：

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关于辨识的代数解的注解

建立结构方程模型识别的代数方法仍然是一个可行的选择。然而，有时不清楚代数解是否建立了识别。一个例子是当有不止一种方法可以求解参数，但一种方法导致单个值，而第二种方法导致函数具有多个值。本文证明，即使其他显式解决方案允许多个解决方案，一个显式且唯一的解决方案也足以进行模型识别。结果用一个例子来说明。结果有助于尝试使用代数方法来解决模型识别问题。