Automorphisms of finitary incidence rings

• Date: 2018
• Main Author: Khripchenko, Nikolay
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: finitary incidence algebra; partially ordered category,quasiordered set; automorphism; 18E05; 18B35; 16S50; 16S60,16G20; 08A35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/632
• Journal Title: Algebra and Discrete Mathematics

Let \(P\) be a quasiordered set, \(R\) an associative unital ring,  \(\mathcal{C}(P,R)\) a partially ordered category associated with the pair \((P,R)\)[6], \(FI(P,R)\) a finitary incidence ring of \(\mathcal{C}(P,R)\)[6]. We prove that the group \({\rm Out}FI\) of outer automorphisms of \(FI(P,R)\)...