$I-n$-Coherent Rings, $I-n$-Semihereditary Rings, and $I$-Regular Rings

• Date: 2014
• Main Authors: Zhanmin, Zhu, Чжанмін, Чжу
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2176
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a ring, let $I$ be an ideal of $R$, and let $n$ be a fixed positive integer. We define and study $I-n$-injective modules and $I-n$-flat modules. Moreover, we define and study left $I-n$-coherent rings, left $I-n$-semihereditary rings, and $I$-regular rings. By using the concepts of $I-n$-...