Relational Galois Connections

Relational Galois Connections
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DOI:
10.1007/978-3-540-70901-5_1
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发表时间:
2007-02
期刊:
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通讯作者:
B. Ganter
B. Ganter
中科院分区:
其他
文献类型:
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作者:
B. Ganter

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伽罗瓦连接可以定义为格和有序集。我们讨论了一个相当广泛的推广,这是由夏伟群介绍,并已在不同的名称下改造:关系之间的关系伽罗瓦连接。事实证明,广义概念对原始概念很重要,可以利用,例如,本文可以被理解为试图将Wille [15]、Xia [16]、Domenach和Leclerc [3]以及其他人的思想结合在一起,并提出一种统一的语言。
Galois connections can be defined for lattices and for ordered sets. We discuss a rather wide generalisation, which was introduced by Weiqun Xia and has been reinvented under different names: Relational Galois connections between relations. It turns out that the generalised notion is of importance for the original one and can be utilised, e.g., for computing Galois connections.The present paper may be understood as an attempt to bring together ideas of Wille [15], Xia [16], Domenach and Leclerc [3], and others and to suggest a unifying language.