homomorph

[hoh-muh-fawrf]

homomorph Definition

a mathematical function that preserves the structure between two algebraic systems.

Using homomorph: Examples

Take a moment to familiarize yourself with how "homomorph" can be used in various situations through the following examples!

  • Example

    The homomorph between the two groups is an isomorphism.

  • Example

    The homomorphism between the two rings is not surjective.

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Summary: homomorph in Brief

A 'homomorph' [hoh-muh-fawrf] is a mathematical function that preserves the structure between two algebraic systems. It is often used in abstract algebra and can be described as an isomorphism or homomorphism.