homomorph

[US]/ˈhɒməˌmɔːf/
[UK]/ˈhoʊməˌmɔrf/

Translation

n.a structure-preserving map between two algebraic structures

Phrases & Collocations

homomorph mapping

homomorph function

homomorph property

homomorph algebra

homomorph structure

homomorph group

homomorph theorem

homomorph relation

homomorph representation

homomorph isomorphism

Example Sentences

in mathematics, a homomorph is a structure-preserving map between two algebraic structures.

the concept of a homomorph is essential in group theory.

we can define a homomorph from one ring to another.

a homomorph helps to simplify complex algebraic problems.

understanding the properties of a homomorph is crucial for advanced mathematics.

homomorphisms are often used to demonstrate equivalences between algebraic structures.

in topology, a homomorph can relate different spaces.

the study of homomorphs can lead to important discoveries in mathematics.

one can visualize a homomorph as a bridge between two mathematical worlds.

homomorphs play a significant role in the classification of algebraic structures.

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