homomorphism in German
homomorphism in German is Homomorphismus — homomorphism means in algebra, a map between two structures of the same kind, such as groups or rings, that preserves how their operations work.
homomorphism in German
Homomorphismus
(algebra) A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
What does "homomorphism" mean?
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noun In algebra, a map between two structures of the same kind, such as groups or rings, that preserves how their operations work.
"A group homomorphism always sends the identity element to the identity element of the other group."
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noun In biology, a similar appearance shared by two organisms or structures that are not closely related.
"The similar body shapes of fish and whales are often given as an example of homomorphism rather than shared ancestry."
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homomorphism in a sentence
- A group homomorphism always sends the identity element to the identity element of the other group.
- Mathematicians check whether a function is a homomorphism by testing whether it preserves the structure's operations.
- The similar body shapes of fish and whales are often given as an example of homomorphism rather than shared ancestry.
- Biologists sometimes describe matching traits in unrelated species as homomorphism.
Common German translations
Frequently asked questions
What is "homomorphism" in German?
"homomorphism" in German is Homomorphismus. homomorphism means: In algebra, a map between two structures of the same kind, such as groups or rings, that preserves how their operations work.
How do you use "homomorphism" in a sentence?
Example: "A group homomorphism always sends the identity element to the identity element of the other group." In German, "homomorphism" is Homomorphismus.
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