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