Homomorphism vs Abelianization - What's the difference?
homomorphism | abelianization |
(algebra) A structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.
(biology) A similar appearance of two unrelated organisms or structures
As nouns the difference between homomorphism and abelianization
is that homomorphism is a structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces while abelianization is a homomorphism that transforms a group into an abelian group.homomorphism
English
Noun
(en noun)- A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.