We give necessary conditions for a map to be irreducible (in the category of finitely
generated, torsion free modules) over a non-local, commutative ring and sufficient …

Let $ R $ be a Noetherian local ring, and let $ C $ be a semidualizing $ R $-module. In this
paper, we present some results concerning to vanishing of $\operatorname {Ext} $ and finite …

Abstract The Auslander-Reiten conjecture is a notorious open problem about the vanishing
of Ext modules. In a Cohen-Macaulay complete local ring R with a parameter ideal Q, the …

We will only assume some basic knowledge in module theory and category theory. In
particular, we will use the following notions that can be found in any textbook on modules or …

In this note we will give an elementary proof of the existence of sharply transitive R-modules
M over principal ideal domains R. An R-module is sharply transitive (or a UT-module) if its R …

Recently the author has studied rings for which products of flat modules have finite flat
dimension. In this paper we extend the theory to characterize when products of modules in T …

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 …

Let A be a tame concealed or tubular algebra and d the dimension-vector of a periodic
module with respect to the action of the Auslander–Reiten translation. We prove that the …

Throughout this paper R will be a commutative ring with one, and all R-modules will be
unitary. Our purpose is to study commutative ring exten-sions S of R. As a key tool in our …

Tilting via torsion pairs and almost hereditary noetherian rings Page 1 Journal of Pure and
Applied Algebra 215 (2011) 2072–2085 Contents lists available at ScienceDirect Journal of …