On a statement of O. Frink about free pseudo-complemented meet-semilattices

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2023-12-14 DOI:10.1007/s00012-023-00836-2

Tibor Katriňák, Jaroslav Guričan

引用次数: 0

Abstract

Orrin Frink in 1962 stated incorrectly, that there exist free pseudocomplemented meet-semilattices, which are not lattices. This is disproved in the present paper. We have shown that any free PCS is in fact a sectionally pseudocomplemented lattice.

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O.弗林克关于自由伪补满足半方阵的声明

奥林·弗林克(Orrin Frink)在1962年错误地指出，存在自由的伪补相遇半格，它不是格。这在本文中是不成立的。我们证明了任何自由的PCS实际上都是一个节伪补晶格。

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

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.