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初等同态英文解释翻译、初等同态的近义词、反义词、例句

英语翻译:

【计】 elementary homomorphism

分词翻译:

初的英语翻译:

at the beginning of; early; elementary; first; original
【医】 arch-; arche-; prot-; proto-

等的英语翻译:

class; grade; rank; wait; when
【机】 iso-

同态的英语翻译:

【计】 homomorphism
【化】 homeomorphism; homomorphism

网络扩展解释

初等同态

chǔ děng tóng tài

初等同态(Elementary Homomorphism)是指在研究代数结构之间的映射的同时,保留了代数结构中各种操作之间的关系。换句话说,如果我们有一个由群、环、域等代数结构构成的集合,我们可以定义一个映射来保持它们之间的代数关系。这个映射将被称为初等同态。

英文解释:An elementary homomorphism refers to a mapping of algebraic structures that preserves the relationships between the various operations in the algebraic structure.

英文读音:/ˌeləˈmɛntəri ˌhoʊmoʊˈmɔrfɪzəm/

英文用法:The concept of elementary homomorphism is widely used in abstract algebra, especially in the study of group theory, ring theory, and field theory.

英文例句:The elementary homomorphism from group G to group H is defined by f(ab)=f(a)f(b) for all a,b in G.

英文近义词:Homomorphism, group homomorphism, ring homomorphism, field homomorphism.

英文反义词:Isomorphism, endomorphism, automorphism.

英文单词常用度:Elementary homomorphism is a relatively specialized concept used mainly in the field of abstract algebra. Its usage frequency is therefore relatively low.

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