Automorphism

- Natural & Formal Sciences -
Mathematics & Logic Dictionary
An isomorphism from an object to itself: a bijective structure-preserving morphism a: X → X with an inverse a^{-1}, representing a symmetry or self-equivalence of the object.

Automorphism

- Mathematics & Logic -
Pure Mathematics Dictionary
An isomorphism from a mathematical object to itself that preserves the object's specified algebraic or relational structure; it is a symmetry of that object.

Automorphism

- Pure Mathematics -
Algebra Dictionary
An isomorphism from an algebraic object to itself: a bijective endomorphism whose inverse is also structure-preserving; represents a symmetry of the object.