Let R be a hereditary, indecomposable, left pure-semisimple ring. We show that R has finite
representation type if and only if a certain finitely presented module is endofinite, namely …

A note on preinjective partial tilting modules Page 137 Canadian Mathematical Society
Conference Proceedings Volume 14, 1993 A NOTE ON PREINJECTIVE PARTIAL TILTING …

We provide a complete classification of all tilting modules and tilting classes over almost
perfect domains, which generalizes the classifications of tilting modules and tilting classes …

In this paper, we introduce and discuss the notion of DC-projective modules over
commutative rings, where C is a semidualizing module. This extends Gillespie and Ding …

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 …

A well-known Assem–Smal ϕ ϕ theorem on tilting modules plays an important role in tilting
theory. In this paper, we prove that a version of Assem–Smal ϕ ϕ theorem still holds in the …

Let C be a semidualizing module over a commutative noetherian ring R. We exhibit an
isomorphism Tor^F_CM_i(-,-)≅Tor^P_CM_i(-,-) between the bifunctors defined via C-flat and …

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 …

Let R be a left Noetherian ring, S a right Noetherian ring and RU a generalized tilting
module with S= End (RU). We give some equivalent conditions that the injective dimension …

Let τ be a hereditary torsion theory on the category R-mod of left modules over an
associative unitary ring R. We will study the τ-injective hull of certain modules, giving an …