Quasi semiprime multiplication modules over a pullback of a pair of Dedekind domains

• Date: 2023
• Main Authors: Ghiasvand, P., Farzalipour, F.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: Dedekind domains; pullback; pure-injective modules; separated modules; quasi semiprime multiplication modules; 13C13; 13C05; 16D70
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1762
• Journal Title: Algebra and Discrete Mathematics

The main purpose of this article is to classify all indecomposable quasi semiprime multiplication modules over pullback rings of two Dedekind domains and establish a connection between the quasi semiprime multiplication modules and the pure-injective modules over such rings. First, we introduce and...