Difference between revisions of "Automorphism"

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m (It's easier just to define this interms of isomorphisms. Also, there are examples of categories where (the generalization of) the old statement isn't true.)
 
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An '''automorphism''' of a structure <math>S</math> is a [[bijective]] [[endomorphism]] on <math>S</math>.
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An '''automorphism''' of a structure <math>S</math> is an [[isomorphism]] from <math>S</math> to itself.
  
 
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[[Category:Abstract algebra]]
 
[[Category:Abstract algebra]]
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[[Category:Category theory]]

Latest revision as of 20:45, 7 September 2008

An automorphism of a structure $S$ is an isomorphism from $S$ to itself.

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