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.

中文翻译：

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同位素拉丁方类的Bruhat阶

在先前的论文中，作者介绍了n阶拉丁方类中的Bruhat阶并对其进行了研究。在本文中，我们研究了一类同位素拉丁方中Bruhat阶的限制。当两个拉丁方通过交换行或列或符号而从另一个拉丁方获得一个时，我们给出了两个相等的条件，它们的布鲁特顺序相关。覆盖关系也得到了解决，并且我们提出了与Bruhat阶相关的正交同位素拉丁方格。