AUTOMORPHISM
Etymology
Noun
automorphism (plural automorphisms)
(algebra) An isomorphism of a mathematical object or system of objects onto itself.
The ascription to others of one's own characteristics.
Usage notes
• (algebra)
An automorphism is characterised by the structure it preserves, which is usually specified as an object type. Thus one may speak of a group automorphism or ring automorphism.
The identity mapping is sometimes called the trivial automorphism; any other automorphism may then be called a nontrivial automorphism.
Synonyms
• (isomorphism of a mathematical object or system of objects onto itself): self-map
• (ascription to others of one's own characteristics): projection
Hypernyms
• (algebra): isomorphism, endomorphism
Hyponyms
• (algebra): inner automorphism, outer automorphism, Möbius transformation
Source: Wiktionary
Au`to*mor"phism, n.
Definition: Automorphic characterization. H. Spenser.
Source: Webster’s Unabridged Dictionary 1913 Edition
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