1
[noun] is an algebraic structure
A group is an algebraic structure.
群是一种代数结构。
代数结构
先理解核心含义，再看它在真实句子里的用法。
代数结构
A mathematical object made up of a carrier set (underlying set), an optional scalar set, a set of operations (usually binary), and a set of axioms.
A group is an algebraic structure.
群是一种代数结构。
由载体集合(也称底层集合或域)、可选标量集合、一组运算(通常为二元运算,但也可为有限元运算)以及这些运算必须满足的一组恒等式(公理)组成的数学对象
A mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
An algebraic structure is a set equipped with one or more operations.
代数结构是一个配备了一个或多个运算的集合。
We study group theory because it is a fundamental algebraic structure.
我们学习群论，因为它是基本的代数结构。
In mathematics, an algebraic structure consists of a set and operations.
在数学中，代数结构由一个集合和运算组成。
A group is an algebraic structure.
群是一种代数结构。
In abstract algebra, we study various algebraic structures.
在抽象代数中，我们研究各种代数结构。
We can define an algebraic structure on the set of real numbers.
我们可以在实数集上定义一种代数结构。
Not this
We study algebra structure.
Use this
We study algebraic structure.
中文学习者常将形容词 'algebraic' 误用为其名词形式 'algebra'，此处需要形容词修饰名词 'structure'。
Not this
I am learning algebraic structure.
Use this
I am learning algebraic structures.
中文学习者常使用单数可数名词表示泛指，但英语中可数名词泛指需用复数。此处 'algebraic structure' 作为可数名词，应用复数表泛指。
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Dictionary facts from WIKTIONARY.