On the dimension of Kirichenko space

• Дата: 2018
• Автор: Plakhotnyk, Makar
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Gorenstein matrix; Gorenstein tiled order
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/891
• Назва журналу: Algebra and Discrete Mathematics

We introduce a notion of the Kirichenko space which is connected with the notion of Gorenstein matrix (see [2], ch. 14). Every element of Kirichenko space is an \(n\times n\) matrix, whose elements are solutions of the equations \(a_{i,j}+a_{j,\sigma (i)} =a_{i,\sigma (i)}\);  \(a_{1,i}=0\) for \(i,...