Rings which have \((m, n)\)-flat injective modules

• Date: 2018
• Main Authors: Zhanmin, Zhu, Zhangsheng, Xia
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: injective modules; (m; n)-flat modules; left IF−(m; n) rings; left IF − 1 rings; 16D50; 16E65
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/947
• Journal Title: Algebra and Discrete Mathematics

A  ring  \(R\)  is  said  to  be  a left \(IF-(m,n)\) ring if every  injective  left \(R\)-module is \((m,n)\)-flat. In this paper, several characterizations of left \(IF-(m,n)\) rings are investigated, some conditions under which \(R\) is left \(IF-(m,n)\) are given. Furthermore, conditions under w...