I−n-Coherent rings, I−n-semihereditary rings, and I-regular rings

• Published in: Український математичний журнал
• Date: 2014
• Main Author: Zhanmin, Zhu
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166084
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: I−n-Coherent rings, I−n-semihereditary rings, and I-regular rings / Zhu Zhanmin // Український математичний журнал. — 2014. — Т. 66, № 6. — С. 767–786. — Бібліогр.: 2 назв. — англ.

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-injectivity and I−n-...