The generalized path algebras over standardly stratified algebras

• Date: 2018
• Main Author: Wang, Shugui
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: the generalized path algebras; quasi-hereditary algebras; 16E10; 16G20; 18G20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/902
• Journal Title: Algebra and Discrete Mathematics

In this note, it is proved that the generalized path algebras over standardly stratified algebras are also standardly stratified, and the generalized path algebras over quasi-hereditary algebras are also quasi-hereditary. The  \(\Delta\)−good module categories over these big quasi-hereditary algebra...