Definitions for "Automorphism"
an isomorphism from a Latin square to itself
In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group.
An iconicity or similarity of forms that enables prediction. For example, because the idea of plurality connotes more, we expect the singular form of a word to be the base form that the plural marker is added to, making both the form and the meaning larger. Indeed, the majority of the world's languages have a q marker for singular and a morpheme for plural.
If L/K is an extension of fields, a K-automorphism of L is a bijective ring homomorphism L -- L which leaves fixed each element of K.
Keywords:  invertible, linear, ''v', operator
an invertible linear operator on ''V''
Keywords:  characterization
Automorphic characterization.