automorphism Synonyms

No Synonyms and anytonyms found

automorphism Meaning

Webster

automorphism (n.)

Automorphic characterization.

automorphism Sentence Examples

1. The automorphism group of a graph is the set of all automorphisms of that graph.
2. An automorphism of a group is a bijective homomorphism from the group to itself.
3. The automorphism group of a ring is the set of all automorphisms of that ring.
4. An automorphism of a field is a bijective homomorphism from the field to itself.
5. The automorphism group of a vector space is the set of all automorphisms of that vector space.
6. An automorphism of a topological space is a homeomorphism from the space to itself.
7. The automorphism group of a Lie algebra is the set of all automorphisms of that Lie algebra.
8. An automorphism of a Lie group is a diffeomorphism from the group to itself.
9. The automorphism group of a category is the set of all automorphisms of that category.
10. An automorphism of a semigroup is a bijective endomorphism from the semigroup to itself.

FAQs About the word automorphism

What is the meaning of the word automorphism

Automorphic characterization.

What are the synonyms of the word automorphism

No synonyms found.

What are the antonyms of the word automorphism

No antonyms found.

What is the usage of word automorphism

The automorphism group of a graph is the set of all automorphisms of that graph.

An automorphism of a group is a bijective homomorphism from the group to itself.

How to use the word automorphism in a sentence?

The automorphism group of a ring is the set of all automorphisms of that ring.

An automorphism of a field is a bijective homomorphism from the field to itself.