有限正 MV 链生成的品种的自然对偶性

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2024-09-06 DOI:10.1007/s00012-024-00868-2

Wolfgang Poiger

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引用次数: 0

摘要

我们为有限 MV 链的无否定和无蕴涵归结所生成的变体提供了一个简单的自然对偶。我们通过由此得到的对偶等价来研究这些变种。例如，我们完全描述了它们的代数封闭、存在封闭和注入成员。我们还从分布骨架和普利斯特里幂的角度探讨了这种自然对偶性与普利斯特里对偶性之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Natural dualities for varieties generated by finite positive MV-chains

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Natural dualities for varieties generated by finite positive MV-chains

We provide a simple natural duality for the varieties generated by the negation- and implication-free reduct of a finite MV-chain. We study these varieties through the dual equivalences thus obtained. For example, we fully characterize their algebraically closed, existentially closed and injective members. We also explore the relationship between this natural duality and Priestley duality in terms of distributive skeletons and Priestley powers.

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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.