homomorphism

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(algebra) A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces. / (biology) A similar appearance of two unrelated organisms or structures.

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The professor demonstrated that the homomorphism between the two rings preserved addition and multiplication, ensuring the quotient structure remained consistent.

詳細

意味（1）

(algebra) A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.

A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.

詳細

意味（2）

(biology) A similar appearance of two unrelated organisms or structures.

homomorphisms （ 複数形 ）