克隆理论中的内生一元类

2009 39th International Symposium on Multiple-Valued Logic Pub Date : 2009-05-21 DOI:10.1109/ISMVL.2009.53

Hajime Machida, I. Rosenberg

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引用次数: 8

摘要

宇宙a上的普遍代数的自同态形成了a上自映射的单似群，这种单似群是特殊而罕见的。本文研究了3元集合a的第一个有趣的情形。在包含序内原一元格中，我们得到了三个极大内原一元格。这一知识使我们得出结论，许多大型一元鱼不是原生的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Endoprimal Monoids in Clone Theory

The endomorphisms of a universal algebra on a universe A form a monoid of selfmaps on A. Such monoids, called endoprimal monoids, are special and rare. In this paper we study the first interesting case of a 3-element set A. In the lattice of inclusion-ordered endoprimal monoids we find three maximal endoprimal monoids. This knowledge allows us to conclude that many large monoids are not endoprimal.

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2009 39th International Symposium on Multiple-Valued Logic

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