Invariance groups of functions and related Galois connections

被引：0
|
作者：
Eszter K. Horváth
Reinhard Pöschel
Sven Reichard
机构：
[1] University of Szeged,Bolyai Institute
[2] Technische Universität Dresden,undefined
[3] Dresden International University,undefined
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2021年 / 62卷
关键词：
Invariance group; Group action; Galois connection; Boolean function; Permutation group; 20B25; 20B35; 06A15; 05E18;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Invariance groups of sets of Boolean functions can be characterized as Galois closures of a suitable Galois connection. We consider such groups in a much more general context using group actions of an abstract group and arbitrary functions instead of Boolean ones. We characterize the Galois closures for both sides of the corresponding Galois connection and apply the results to known group actions.
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页码：495 / 512
页数：17
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