由超关系的总-部分决定的超克隆

2009 39th International Symposium on Multiple-Valued Logic Pub Date : 2009-05-21 DOI:10.1109/ISMVL.2009.50

Hajime Machida, J. Pantović

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引用次数: 4

摘要

研究无空集幂集上的超运算保持关系集。对于一个关系的特定性质，这样的集合是超克隆的。我们考虑具有完全部分的关系正是来自Rosenberg的关系类。通过研究非平凡等价关系、中心关系和正则关系作为整体，我们证明了保留这些超关系的超运算集是极大超克隆。

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Hyperclones Determined by Total-Parts of Hyper-relations

This paper studies sets of hyper-operations preserving relations on power set without emptyset. For a particular property of a relation, such a set is hyperclone. We consider relations having total part exactly from Rosenberg's classes of relations. By investigating nontrivial equivalence relations, central relations and regular relations as total part, we show that sets of hyper-operations preserving such hyper-relations are maximal hyperclones.

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2009 39th International Symposium on Multiple-Valued Logic

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