Categorical properties of some algorithms of differentiation for equipped posets

• Date: 2022
• Main Authors: Gaviria, I. D. M., Cañadas, A. M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: algorithm of differentiation; Auslander-Reiten quiver; categorical equivalence; equipped poset; poset representation; 16G20; 16G60; 16G30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1647
• Journal Title: Algebra and Discrete Mathematics

In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, an algorithm \(A_{z}\) is introduced to build equipped pose...