homomorphism Definition
a structure-preserving map between two algebraic structures of the same type (such as two groups, rings, or vector spaces) that preserves the operations of the structures.
Using homomorphism: Examples
Take a moment to familiarize yourself with how "homomorphism" can be used in various situations through the following examples!
Example
The homomorphism between the two groups is an isomorphism.
Example
A homomorphism is a function that preserves the structure of a mathematical object.
Summary: homomorphism in Brief
A 'homomorphism' [ˌhɑːməʊˈmɔːfɪzəm] is a structure-preserving map between two algebraic structures of the same type, such as two groups, rings, or vector spaces. It preserves the operations of the structures and is often used in mathematical contexts. An example of its use is in the statement 'The homomorphism between the two groups is an isomorphism.'
