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A first-order structure is rigid when its identity map is its only automorphism. Every finite linear order is rigid, whereas is nonrigid because every translation is an order automorphism.

Ancestors (8)

  1. Automorphism of a first-order structure
  2. First-order structure
  3. First-order logic
  4. Mathematical logic
  5. Foundations of mathematics
  6. Area of mathematics
  7. Mathematics
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