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First-order axiomatization of an automorphism
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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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Words: 33
After adjoining a unary function symbol
f
, injectivity, surjectivity, preservation of each operation, and preservation in both directions of each relation form an axiom scheme whose models interpret
f
as an automorphism.
Ancestors
(8)
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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