Constructions of Auslander-Gorenstein local rings Page 65 CONSTRUCTIONS OF
AUSLANDER-GORENSTEIN LOCAL RINGS MITSUO HOSHINO, NORITSUGU KAMEYAMA …

Auslander conjectured that every Artin algebra satisfies a certain condition on vanishing of
cohomology of finitely generated modules. The failure of this conjecture—by a 2003 …

We introduce the finitistic extension degree of a ring and investigate rings for which it is
finite. The Auslander–Reiten Conjecture is proved for rings of finite finitistic extension …

In this note, some properties of finitely generated two-periodic modules over commutative
Noetherian local rings have been studied. We prove a weaker version of the Huneke …

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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 …

Let R be a commutative Noetherian local ring, and denote by modR the category of finitely
generated R-modules. In this paper, we consider when modR has a nontrivial extension …

We extend the definition of a semidualizing module to general associative rings. This
enables us to define and study Auslander and Bass classes with respect to a semidualizing …

On the Generalized Auslander–Reiten Conjecture under Certain Ring Extensions Page 1
Canad. Math. Bull. Vol. 58 (1), 2015 pp. 134–143 http://dx.doi.org/10.4153/CMB-2014-052-9 c …