We describe new classes of noetherian local rings R whose finitely generated modules M
have the property that Tor i R (M, M)= 0 for i≫ 0 implies that M has finite projective …

In this paper, we investigate the finiteness of Ext-indices for certain ring extensions. In this
direction, we introduce some conjectures and discuss the relationships among them. We …

Let A be an artin algebra. An indecomposable A-module M is called weakly directing if it
does not belong to a cycle of nonzero nonisomorphisms between indecomposable modules …

In this work we continue studying the notion of completion of R-modules, over a commutative
ring R, relative to a torsion theory ϑ. We develop some techniques relative to localization at …

Let R be an associative ring with 1 and let T be a hereditary torsion theory in the category of
left R-modules. In defining the localizatio n of R respect to x, the concept of T-injective …

over Radical Cube Zero Rings Page 1 JOURNAL or ALGEBRA 167, 100~l03 (1994)
Modules without Self-Extensions over Radical Cube Zero Rings RAINER SCHULZ …

We solve an open problem concerning the existence of cycle-finite algebras of infinite
representation type for which all indecomposable projective modules and indecomposable …

Presently two classes of artinian rings are known, over which there exist Auslander-Reiten
sequences: artin algebras and rings of finite representation type. To be more precise …

Generic modules were introduced by Crawley-Boevey in order to provide a better
understanding of finite-dimensional algebras of tame representation type. In fact he has …

In this paper we explore consequences of the vanishing of ${\rm Ext} $ for finitely generated
modules over a quasi-fiber product ring $ R $; that is, $ R $ is a local ring such that …