On Gorenstein W-n-Flat And Gorenstein W-n-Absolutely-Pure Complexes

In this article, we mainly study two aspects:In the first part, we first define Gorenstein W-n-flat modules and Goren-stein W-n-flat complexes, and study their properties under n-coherent rings and GWFn-closed rings. At the same time, we prove that Gorenstein W-n-flat com-plexes are actually the complexes of Gorenstein W-n-flat modules under the con-dition of n-coherent rings and GWFn-closed rings. Finally, some results are given related to the dimension of complexes.In the second part, we define Gorenstein W-n-absolutely pure complexes and m-Gorenstein n-absolutely pure complexes based on Gorenstein FP-injective complexes, and we also study their properties.