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

• Datum: 2014
• Hauptverfasser: Zhanmin, Zhu, Чжанмін, Чжу
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2176
• Назва журналу: 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 $I-n$-...