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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Date: | 2014 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2014
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Series: | Український математичний журнал |
Subjects: | |
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. |