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Rigid first-order structure
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Area of mathematics
Foundations of mathematics
Mathematical logic
First-order logic
First-order structure
Automorphism of a first-order structure
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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
(
Z
,
<
)
is nonrigid because every translation is an order automorphism.
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Compactness transfer of finite nonrigidity
Rigid first-order structure
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Ancestors
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Automorphism of a first-order structure
First-order structure
First-order logic
Mathematical logic
Foundations of mathematics
Area of mathematics
Mathematics
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