Abstract
We study the notion of Cartan-Eilenberg Gorenstein projective N-complexes. We show that an N-complex G is Cartan-Eilenberg Gorenstein projective if and only if Gn, and
are Gorenstein projective modules for each
and
Some applications are induced, for instance, we first establish a relationship between Cartan-Eilenberg Gorenstein projective N-complexes and Gorenstein projective N-complexes. Secondly, we show that an iteration of the procedure used to define the Cartan-Eilenberg Gorenstein projective N-complexes yields exactly the Cartan-Eilenberg Gorenstein projective N-complexes. Finally, we consider Cartan-Eilenberg Gorenstein projectivity of N-complexes along Frobenius extension of rings.
Acknowledgements
The author would like to thank the referee for a careful reading of the paper and for many useful comments and suggestions.