group homomorphism
群同态
ring homomorphism
环同态
linear homomorphism
线性同态
homomorphism theorem
同态定理
isomorphism homomorphism
同构同态
homomorphism property
同态性质
homomorphism mapping
同态映射
homomorphism class
同态类
homomorphism example
同态示例
homomorphism definition
同态定义
in mathematics, a homomorphism is a structure-preserving map between two algebraic structures.
在数学中，同态是两个代数结构之间的保持结构的映射。
understanding homomorphism is crucial for studying group theory.
理解同态对于研究群论至关重要。
the concept of homomorphism can be applied in various fields, including computer science.
同态的概念可以应用于多个领域，包括计算机科学。
homomorphism allows us to simplify complex algebraic equations.
同态使我们能够简化复杂的代数方程。
two groups are said to be homomorphic if there exists a homomorphism between them.
如果两个群之间存在同态，则称它们是同构的。
in category theory, a homomorphism is often referred to as a morphism.
在范畴理论中，同态通常被称为态射。
identifying homomorphisms can help in understanding the relationships between different mathematical structures.
识别同态可以帮助理解不同数学结构之间的关系。
homomorphism plays a significant role in the study of linear transformations.
同态在研究线性变换中起着重要作用。
when studying rings, one must consider the properties of homomorphisms.
在研究环时，必须考虑同态的性质。
homomorphism is a key concept in abstract algebra.
同态是抽象代数中的一个关键概念。
group homomorphism
群同态
ring homomorphism
环同态
linear homomorphism
线性同态
homomorphism theorem
同态定理
isomorphism homomorphism
同构同态
homomorphism property
同态性质
homomorphism mapping
同态映射
homomorphism class
同态类
homomorphism example
同态示例
homomorphism definition
同态定义
in mathematics, a homomorphism is a structure-preserving map between two algebraic structures.
在数学中，同态是两个代数结构之间的保持结构的映射。
understanding homomorphism is crucial for studying group theory.
理解同态对于研究群论至关重要。
the concept of homomorphism can be applied in various fields, including computer science.
同态的概念可以应用于多个领域，包括计算机科学。
homomorphism allows us to simplify complex algebraic equations.
同态使我们能够简化复杂的代数方程。
two groups are said to be homomorphic if there exists a homomorphism between them.
如果两个群之间存在同态，则称它们是同构的。
in category theory, a homomorphism is often referred to as a morphism.
在范畴理论中，同态通常被称为态射。
identifying homomorphisms can help in understanding the relationships between different mathematical structures.
识别同态可以帮助理解不同数学结构之间的关系。
homomorphism plays a significant role in the study of linear transformations.
同态在研究线性变换中起着重要作用。
when studying rings, one must consider the properties of homomorphisms.
在研究环时，必须考虑同态的性质。
homomorphism is a key concept in abstract algebra.
同态是抽象代数中的一个关键概念。
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