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

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-...

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Bibliographic Details
Date:2014
Main Author: Zhanmin, Zhu
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166084
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine