Theory of paradeterminants and its applications

• Date: 2018
• Main Author: Zatorsky, Roman A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: paradeterminant; parapermanent; triangular matrix; 15A15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/838
• Journal Title: Algebra and Discrete Mathematics

We consider elements of linear algebra based on triangular tables with entries in some number field and their functions, analogical to the classical notions of a matrix, determinant and permanent. Some properties are investigated and applications in various areas of mathematics are given.