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On Nonnil-S-Noetherian Rings
| Content Provider | MDPI |
|---|---|
| Author | Kwon, Min Jae Lim, Jung Wook |
| Copyright Year | 2020 |
| Description | Let R be a commutative ring with identity, and let S be a (not necessarily saturated) multiplicative subset of R. We define R to be a nonnil-S-Noetherian ring if each nonnil ideal of R is S-finite. In this paper, we study some properties of nonnil-S-Noetherian rings. More precisely, we investigate nonnil-S-Noetherian rings via the Cohen-type theorem, the flat extension, the faithfully flat extension, the polynomial ring extension, and the power series ring extension. |
| Starting Page | 1428 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math8091428 |
| Journal | Mathematics |
| Issue Number | 9 |
| Volume Number | 8 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-08-26 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Logic Nonnil-s-noetherian Ring S-noetherian Ring S-finite Ideal Sft Ring |
| Content Type | Text |
| Resource Type | Article |
