“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 8422 |
|
||||
| Abstract: | |||||
|
In this paper, we study Gorenstein projective and flat modules
over a Noetherian ring R. For an R-module M, we show that
Gorenstein projective dimension of M is finite if and only if
Gorenstein flat dimension of M is finite provided the Krull
dimension of R is finite. Moreover, in the case that R is
local, we prove that Gorenstein projective dimension of an
R-module M is finite if and only if ∧R ⊗R M
belongs to the Auslander category of ∧R.
Download TeX format |
|||||
| back to top | |||||
