On strongly graded Gorestein orders

• Date: 2018
• Main Authors: Theohari-Apostolidi, Th., Vavatsoulas, H.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: strongly graded rings; Gorenstein orders; symmetric algebras; 16H05; 16G30; 16S35; 16G10; 16W50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/937
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a finite group and let \(\Lambda=\oplus_{g \in G}\Lambda_{g}\) be a strongly \(G\)-graded \(R\)-algebra, where \(R\) is a commutative ring  with unity. We prove that if \(R\) is a Dedekind domain with quotient field \(K\), \(\Lambda\) is an \(R\)-order in a separable \(K\)-algebra such...