Gorenstein matrices

• Date: 2018
• Main Authors: Dokuchaev, M. A., Kirichenko, V. V., Zelensky, A. V., Zhuravlev, V. N.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: exponent matrix; Gorenstein tiled order; Gorenstein matrix; admissible quiver; doubly stochastic matrix; 16P40; 16G10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/913
• Journal Title: Algebra and Discrete Mathematics

Let \(A=(a_{ij})\) be an integral matrix. We say that  \(A\) is \((0, 1, 2)\)-matrix if \(a_{ij}\in \{0, 1, 2\}\). There exists the Gorenstein \((0, 1, 2)\)-matrix for any permutation \(\sigma \) on the set \(\{1, \ldots , n\}\) without fixed elements. For every positive integer \(n\) there exists t...