homomorphism Sentence Examples
- A homomorphism is a structure-preserving map between two algebraic structures of the same type.
- Group homomorphisms preserve the group operation and identity element.
- Ring homomorphisms preserve the addition and multiplication operations and distribute over each other.
- Homomorphisms of vector spaces preserve linear combinations and vector addition.
- The kernel of a homomorphism is the set of elements that map to the identity element.
- The image of a homomorphism is the set of elements that are mapped to by at least one element.
- The quotient group by the kernel of a group homomorphism is isomorphic to the image of the homomorphism.
- A homomorphism can be used to lift algebraic properties from one structure to another.
- Composing homomorphisms results in a new homomorphism, preserving the algebraic structures.
- The category theory framework provides a unified treatment of homomorphisms and their properties for different algebraic structures.
homomorphism Meaning
homomorphism (n)
similarity of form
homomorphism (n.)
Same as Homomorphy.
The possession, in one species of plants, of only one kind of flowers; -- opposed to heteromorphism, dimorphism, and trimorphism.
The possession of but one kind of larvae or young, as in most insects.
Synonyms & Antonyms of homomorphism
No Synonyms and anytonyms found
FAQs About the word homomorphism
similarity of formSame as Homomorphy., The possession, in one species of plants, of only one kind of flowers; -- opposed to heteromorphism, dimorphism, and trim
No synonyms found.
No antonyms found.
A homomorphism is a structure-preserving map between two algebraic structures of the same type.
Group homomorphisms preserve the group operation and identity element.
Ring homomorphisms preserve the addition and multiplication operations and distribute over each other.
Homomorphisms of vector spaces preserve linear combinations and vector addition.
