homomorphism

[美國]/ˌhɒməʊˈmɔːfɪzəm/
[英國]/ˌhoʊməˈmɔrfɪzəm/
詞頻: 非常高

中文釋義

n.同態;同形,同態
Word Forms

短語搭配

group homomorphism

羣同態

ring homomorphism

環同態

linear homomorphism

線性同態

homomorphism theorem

同態定理

isomorphism homomorphism

同構同態

homomorphism property

同態性質

homomorphism mapping

同態映射

homomorphism class

同態類

homomorphism example

同態示例

homomorphism definition

同態定義

例句

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

在數學中,同態是兩個代數結構之間的保持結構的映射。

understanding homomorphism is crucial for studying group theory.

理解同態對於研究羣論至關重要。

the concept of homomorphism can be applied in various fields, including computer science.

同態的概念可以應用於多個領域,包括計算機科學。

homomorphism allows us to simplify complex algebraic equations.

同態使我們能夠簡化複雜的代數方程。

two groups are said to be homomorphic if there exists a homomorphism between them.

如果兩個羣之間存在同態,則稱它們是同構的。

in category theory, a homomorphism is often referred to as a morphism.

在範疇理論中,同態通常被稱爲態射。

identifying homomorphisms can help in understanding the relationships between different mathematical structures.

識別同態可以幫助理解不同數學結構之間的關係。

homomorphism plays a significant role in the study of linear transformations.

同態在研究線性變換中起着重要作用。

when studying rings, one must consider the properties of homomorphisms.

在研究環時,必須考慮同態的性質。

homomorphism is a key concept in abstract algebra.

同態是抽象代數中的一個關鍵概念。

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