同位素拉丁方类的Bruhat阶

IF 0.5 4区数学 Q3 MATHEMATICS

Portugaliae Mathematica Pub Date : 2020-09-09 DOI:10.4171/pm/2046

Rosário Fernandes, Henrique F. da Cruz, Domingos Salomão

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引用次数: 2

摘要

在上一篇文章中，作者引入并研究了n阶拉丁平方类中的Bruhat阶。在本文中，我们研究了一类同位素拉丁平方类中Bruhat阶的限制。我们给出了当其中一个拉丁方格通过交换行、列或符号得到另一个拉丁方格时，两个拉丁方格由Bruhat阶相关的等价条件。我们还讨论了覆盖关系，并给出了由Bruhat阶相关的正交同位素拉丁方。

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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The Bruhat order on classes of isotopic Latin squares

In a previous paper, the authors introduced and studied the Bruhat order in the class of Latin squares of order n. In this paper, we investigate the restriction of the Bruhat order in a class of isotopic Latin squares. We present equivalent conditions for two Latin squares be related by the Bruhat order when one of them is obtained from the other by interchanging rows or columns or symbols. The cover relation is also addressed, and we present orthogonal isotopic Latin squares related by the Bruhat order.

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来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.