DN 矩阵的普里斯特利式对偶性

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2024-01-03 DOI:10.1007/s00012-023-00838-0

Luciano J. González

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引用次数: 0

摘要

本文的目的是为 DN 代数的多样性开发一种普利斯特里式的对偶性。为此，我们使用了 DN 代数的自由分布格扩展概念。我们为分布网格建立了与普里斯特里对偶性的联系。最后，我们介绍了滤波器网格、全等网格以及 DN 代数的某些子代数的拓扑描述。

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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Priestley-style duality for DN-algebras

The aim of this article is to develop a Priestley-style duality for the variety of DN-algebras. In order to achieve this, we use the concept of free distributive lattice extension of a DN-algebra. We establish a connection with the Priestley duality for distributive lattices. Finally, we present topological descriptions for the lattice of filters, for the lattice of congruences, and for certain kinds of subalgebras of a DN-algebra.

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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.