Serial piecewise domains

• Date: 2018
• Main Authors: Gubareni, Nadiya, Khibina, Marina
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: piecewise domain; hereditary ring; semihereditary ring; serial ring; Noetherian diagonal; prime radical; prime quiver; 16P40; 16G10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/868
• Journal Title: Algebra and Discrete Mathematics

A ring \(A\) is called a  piecewise domain with respect to the complete set of idempotents \(\{e_1, e_2, \ldots, e_m\}\) if every nonzero homomorphism  \(e_iA \rightarrow e_jA\) is a monomorphism.  In this paper we study the rings for which conditions of   being piecewise domain and being hereditary...