Strong formula automorphism

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This article defines a property that can be evaluated for an automorphism of an algebra in a variety of algebras. The evaluation of that property depends on the ambient variety, and not just on the automorphism or the algebra.
View all such properties

Definition

An automorphism of an algebra in a variety of algebras is a formula automorphism whose inverse is also a formula automorphism.

Particular cases

For groups

Strong formula automorphisms in the case of groups are called strong monomial automorphisms.

Relation with other properties

Stronger properties

Weaker properties