Which amendment prohibits federal and state courts and federal administrative agencies from hearing cases in which a private party names a state as a defendant without the state's consent?

The 11th ammendment.

Explanation: The 11th ammendment states that "the judicial power of the United States shall not be construed to extend to any suit in law or equity, commenced or prosecuted against one of the United States, by Citizens of another State, or by Citizens or Subjects of any Foreign State."

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