On the dimension of Kirichenko space

• Date: 2018
• Main Author: Plakhotnyk, Makar
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Gorenstein matrix; Gorenstein tiled order
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/891
• Journal Title: 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,...