… Let T be a tilting module. In this paper, Gorenstein π[T]-projective modules are introduced
and … Since G is Gorenstein σ[T]-injective, we deduce that G is Gorenstein π[T]-projective by …

… Let T be a tilting module. In this paper, Gorenstein Td n -injective and Gorenstein Td n -flat …
If G ∈ CogenT (resp; G ∈ GenT), then G is called Gorenstein Td n -injective (resp; Gorenstein …

… (T ,n)-coherent rings, (T ,n)-injective modules and (T ,n)flat … ; some elementary properties of
(T ,n)-injective modules and (T ,n)-… the concepts of (T ,n)-coherent rings and T -coherent rings. …

… Let R be a ring and T an R-module. Then … , we show that in the case of (n, T)-coherent rings,
the existence of FT -complex and ET -complex of a module is sufficient to be Gorenstein Td …

… flatness and relative injectivity, with respect to the tilting module T in short exact sequences.
… Many ring and module theoretic concepts have been reformulated for the full subcategory σ[…

… For more information about the relative cohence of rings and modules, see [4, 7, 9, 11]. In
this paper, we introduce the Gorenstein (n, d)-flat modules and Gorenstein (n, d)-injective …

… In [15], the author has found the relations between F-coherence and F-purity, F-regularity
and F-injectivity of rings. Some applications to tight closure theory are also given. In this paper, …