A module MR is called FCG-projective if Ext R 1 (M, A)= 0 for every finitely cogenerated right
R-module A. A ring R is called right co-hereditary if every factor module of a finitely …

Abstract In (n, d)-ring and n-coherent ring theory, n-presented modules plays an important
role. In this paper, we firstly give some new characterizations of n-presented modules and n …

In basic homological algebra, the flat and injective dimensions of modules play an important
and fundamental role. In this paper, the closely related IFP-flat and IFP-injective dimensions …

Let R be a left and right Noetherian ring. We introduce the notion of the torsionfree
dimension of finitely generated R-modules. For any n≧0, we prove that R is a Gorenstein …

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 commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …

The concepts of Ding projective, injective R-modules were first introduced by Ding and his
partners in [J. Aust. Math. Soc., 86 (2009), 323–338] and [J. Algebra Appl., 7 (4)(2008), 491 …

By utilizing known characterizations of w-Noetherian rings in terms of injective modules, we
give more characterizations of w-Noetherian rings. More precisely, we show that a …

Let R be a ring. We define a dimension, called P-cotorsion dimension, for modules and
rings. The aim of this article is to investigate P-cotorsion dimensions of modules and rings …

Recently, de la Rosa and Fuchs (Commentarii Math. Univ. Sancti Pauli 35 (1986), 53–57)
discussed the relationship between the projective dimen-sion and the ha-dimension of a …