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What does homomorphism mean?

Looking for the meaning or definition of the word homomorphism? Here's what it means.

Noun
  1. (algebra) A structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.
  2. (biology) A similar appearance of two unrelated organisms or structures
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Examples
In the same spirit, it should be said not that Z is contained in the field Q of rational numbers but only that the homomorphism Z → Q is one-to-one.
At the beginning of this paper, we said that decidability, set-oriented operations, and homomorphism were the three essential features of data models.
The notions isomorphism and homomorphism can be defined with further widening on the systems.
There's a cheap assumption about whatever, call it a homomorphism between form and content.
So, for Everett, a theory was empirically faithful and hence empirically acceptable if there was a homomorphism between its model and the world as experienced.
A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.

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