Characteristic subring

From Commalg

This article defines a property that can be evaluated for a unital subring in a commutative unital ring: given any commutative unital ring and a subring thereof, the property is either true or false for the pair
View a complete list of such properties

Definition

A unital subring of a commutative unital ring is termed a characteristic subring or automorphism-invariant subring if every automorphism of the whole ring sends the subring to itself.

Relation with other properties

Stronger properties