FP-injective objects in the category of N-complexes
- Vol.55(1), Mar
- New Delhi Springer 2024
- 242-255p.
We show that an N-complex of modules C is FP-injective if and only if C is N-exact and is an FP-injective module for each and each by virtue of Gaussian binomial coefficients. Applications of this result go in three directions. Firstly, over a coherent ring, we prove that a bounded above N-complex C is FP-injective if and only if C is N-exact and is an FP-injective module for each . Secondly, we obtain some examples of FP-injective N-complexes for some fixed integer N. Finally, we give a characterization of coherent rings.