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...
| Hlavní autoři: | , , , |
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| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
Wiley
2022-01-01
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| Edice: | Journal of Mathematics |
| On-line přístup: | http://dx.doi.org/10.1155/2022/7403502 |