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词汇 Order isomorphic
分类 英语词汇 英语翻译词典
释义

Order isomorphic

中文百科

序同构 Order isomorphism

(重定向自Order isomorphic)

在数学领域序理论中,序同构是特殊种类的单调函数,构造了一个适合偏序集合的同构概念。当两个偏序集合是序同构的时候,它们可以被认为是“本质上相同”的,在一个次序可以通过重命名元素而从另一个次序获得。有关于序同构的两个严格更弱的概念是序嵌入和伽罗瓦连接。

英语百科

Order isomorphism 序同构

(重定向自Order isomorphic)

In the mathematical field of order theory an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets (posets). Whenever two posets are order isomorphic, they can be considered to be "essentially the same" in the sense that one of the orders can be obtained from the other just by renaming of elements. Two strictly weaker notions that relate to order isomorphisms are order embeddings and Galois connections.

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