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词汇 Direct product of groups
分类 英语词汇 英语翻译词典
释义

Direct product of groups

中文百科

直积

在数学中,经常定义已知对象的直积(direct product)来给出新对象。例子有集合的乘积(参见笛卡尔积),群的乘积(下面描述),环的乘积和其他代数结构的乘积。拓扑空间的乘积是另一个例子。

英语百科

Direct product of groups 直积

In group theory, the direct product is an operation that takes two groups G and H and constructs a new group, usually denoted G × H. This operation is the group-theoretic analogue of the Cartesian product of sets and is one of several important notions of direct product in mathematics.

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