Some Characterizations of w-Noetherian Rings and SM Rings
In this paper, we characterize w-Noetherian rings and SM rings. More precisely, in terms of the u-operation on a commutative ring R, we prove that R is w-Noetherian if and only if the direct limit of rGV-torsion-free injective R-modules is injective and that R is SM, which can be regarded as a regul...
| Main Authors: | , , , |
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| 格式: | 文件 |
| 语言: | English |
| 出版: |
Wiley
2022-01-01
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| 丛编: | Journal of Mathematics |
| 在线阅读: | http://dx.doi.org/10.1155/2022/7403502 |