Ultra Exponent Matrices

• Date: 2026
• Main Author: Зеленський, Олексій
• Format: Article
• Language: English
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2026
• Online Access: https://mcm-math.kpnu.edu.ua/article/view/361006
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

The paper studies ultra exponent matrices, that is, reduced exponent matrices for which the usual triangle inequality is strengthened to an ultrametric-type inequality. It is proved that every ultra exponent matrix is an exponent matrix, and that every exponent matrix whose entries belong to {0, 1}...