In this article we consider finitely generated torsion-free modules over certain one-
dimensional commutative Noetherian rings R. We assume there exists a positive integer NR …

We investigate injective dimension of $ F $-finite $ F $-modules in characteristic $ p $ and
holonomic $ D $-modules in characteristic 0. One of our main results is the following. If …

Let R be a ring and n be a positive integer. R is called left n-coherent, if every n-presented
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …

抄録 In this paper, we give some characterizations of FP-grinjective R-modules and graded
right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr …

Let M be a module and K a submodule of a module N in σ [M]. We call K a δ–M-small
submodule of N if whenever N= K+ L, N/L is M-singular for any submodule L of N, we have …

In this paper we mainly study the properties of dual modules over k-Gorenstein rings. For a k-
Gorenstein ring Λ we show that the right self-injective dimension is less than or equal to k if …

Let R and S be rings and RωS a semidualizing bimodule. We investigate when the double
functor TorS i (ω, Exti R (ω,−)) preserves epimorphisms and the double functor Exti R (ω …

On the dimension of cofinite modules - NASA/ADS Now on home page ads icon ads Enable
full ADS view NASA/ADS On the dimension of cofinite modules Rahro Zargar, Majid ; …

We characterize rings which have the injective dimension of torsionfree modules less than
or equal to one. We called such rings TF-hereditary rings. Also, we give some ring …

For a Noetherian ring R and a cotilting R-module T of injective dimension at least 1, we
prove that the derived dimension of R with respect to the category XT is precisely the …