1 results
CARTAN–EILENBERG FP-INJECTIVE COMPLEXES
- Part of
-
- Journal:
- Journal of the Australian Mathematical Society / Volume 103 / Issue 3 / December 2017
- Published online by Cambridge University Press:
- 23 December 2016, pp. 387-401
- Print publication:
- December 2017
-
- Article
-
- You have access
- Export citation
-
In this article, we extend the notion of FP-injective modules to that of Cartan–Eilenberg complexes. We show that a complex
$C$ is Cartan–Eilenberg FP-injective if and only if 
$C$ and 
$\text{Z}(C)$ are complexes consisting of FP-injective modules over right coherent rings. As an application, coherent rings are characterized in various ways, using Cartan–Eilenberg FP-injective and Cartan–Eilenberg flat complexes.
