Abstract
We prove that, over any ring R, the class of Ding injective modules, (Formula presented.) is the right half of a hereditary cotorsion pair, (Formula presented.) We also show that, over a coherent ring R, a module M is Ding injective if and only if it is Gorenstein injective and in the class (Formula presented.).
| Original language | English |
|---|---|
| Pages (from-to) | 2901-2905 |
| Number of pages | 5 |
| Journal | Communications in Algebra |
| Volume | 49 |
| Issue number | 7 |
| DOIs | |
| State | Published - 2021 |
Scopus Subject Areas
- Algebra and Number Theory
Keywords
- Ding injective modules
- Gorenstein injective modules