Chapter 17 Wakamatsu Tilting Modules, U-Dominant Dimension, and k-Gorenstein Modules
Zhaoyong Huang Department of Mathematics, Nanjing University, Nanjing 210093, People's …

We apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …

Over a commutative noetherian ring, we introduce a generalization of Gorenstein projective
and injective modules, which we call, respectively, n-Gorenstein projective and injective …

In commutative ring theory, the notion of Gorenstein rings has been studied widely. For rings
having finite Krull dimension, Bass showed the characterization of Gorenstein rings as rings …

In this paper we develop the homological properties of the Gorenstein $(\Le,\A) $-flat $ R $-
modules $\GF_ {(\Flat (R),\A)} $ proposed by Gillespie,\linebreak where the class …

The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injective dimensions at most n for some non-negative integer n. In …

In this paper, let R be a commutative ring and C a semidualizing module. We investigate the
(weak) C-Gorenstein global dimension of R and we get a simple formula to compute the C …

Let SCR be a semidualizing bimodule with S left coherent and R right coherent. For a non-
negative integer n, it is shown that l. FP-id S (C)= r. FP-id R (C)≤ n if and only if every finitely …

Unless stated otherwise, throughout this paper all rings are associative with identity and all
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …

Let Λ and Γ be artin algebras and Λ U Γ a faithfully balanced selforthogonal bimodule. In this
paper, we first introduce the notion of k-Gorenstein modules with respect to Λ U Γ and then …