Let R be an artin algebra. We prove that a tilting R-module ω is cotilting if and only if every
finitely generated R-module has finite ω-Gorenstein resolution dimension and that a cotilting …

We investigate for an artin algebra Λ when categories of dth syzygy modules are closed
under extensions. In this case they are functorially finite resolving, and have an associated …

Let Λ be an Artin algebra over a commutative Artin ring R and let modΛ be the category of
finitely generated left Λ-modules. For a module M∈ modΛ, we denote by pdΛ M the …

For a finite-dimensional algebra Λ and a nonnegative integer n, we characterize when the
set tilt n Λ of additive equivalence classes of tilting modules with projective dimension at …

Let Λ be an artin algebra over a commutative artinian ring R and let T be a separating-
splitting tilting Λ-module with endomorphism Γ= End Λ (T). The aim of this paper is to use …

Relative cotilting modules and their connection to ordinary cotilting modules were first
studied by Auslander and Solberg in [6] and [7]. Among other things, they show that relative …

The monomorphism category S n (X) is introduced, where X is a full subcategory of the
module category A-mod of an Artin algebra A. The key result is a reciprocity of the …

Tilting modules and Auslander’s Gorenstein property Page 1 Journal of Algebra 275 (2004)
3–39 www.elsevier.com/locate/jalgebra Tilting modules and Auslander’s Gorenstein property …

Infinitely generated complements to partial tilting modules Page 1 Math. Proc. Camb. Phil.
Soc. (2002), 132, 89 c© Cambridge Philosophical Society DOI: 10.1017/S0305004101005394 …

In this paper, weak tilting modules are introduced and investigated. We show that all tilting
modules are weak tilting modules, but the converse is not true. We prove that a module is …