A topological duality for tense modal pseudocomplemented De Morgan algebras

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-07-01 DOI:10.1515/ms-2024-0041

Gustavo Pelaitay, Maia Starobinsky

引用次数: 0

Abstract

In this paper, we define and study the variety of tense modal pseudocomplemented De Morgan algebras. This variety is a proper subvariety of the variety of tense tetravalent modal algebras. A tense modal pseudocomplemented De Morgan algebra is a modal pseudocomplemented De Morgan algebra endowed with two tense operators G and H satisfying additional conditions. Also, the variety of tense modal pseudocomplemented De Morgan algebras is intimately connected with some well-known varieties of De Morgan algebras with tense operators.

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时态模态伪补德摩根代数的拓扑对偶性

在本文中，我们定义并研究了时态模态伪补德摩根代数的种类。这个种类是时态四价模态代数种类的一个适当子种类。时态模态伪互补德摩根代数是一个模态伪互补德摩根代数，禀赋有满足附加条件的两个时态算子 G 和 H。此外，时态模态伪互补德摩根代数的种类与一些著名的带有时态算子的德摩根代数种类密切相关。

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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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.