布尔函数的多数闭仆从

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2023-11-22 DOI:10.1007/s00012-023-00835-3

Erkko Lehtonen

引用次数: 3

摘要

描述了93种布尔函数与自对偶单调函数的克隆在左复合下稳定的子类。作为一个简单的结果，布尔函数的所有\((C_1,C_2)\) -克隆体对于任意克隆\(C_1\)和包含自对偶单调函数克隆的任何克隆\(C_2\)都是确定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Majority-closed minions of Boolean functions

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Majority-closed minions of Boolean functions

The 93 minions of Boolean functions stable under left composition with the clone of self-dual monotone functions are described. As an easy consequence, all \((C_1,C_2)\)-clonoids of Boolean functions are determined for an arbitrary clone \(C_1\) and for any clone \(C_2\) containing the clone of self-dual monotone functions.

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来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.