Apart from confirming conjectures in algebraic combinatorics and integrable systems, having
an interesting representation theory, and connecting with real algebraic geometry …

We recall several results in Auslander-Reiten theory for finite-dimensional algebras over
fields and orders over complete local rings. Then we introduce $ n $-cluster tilting …

Let L denote a finite lattice with at least two points and let A denote the incidence K-algebra
of L over a field K. We prove that L is distributive if and only if A is an Auslander regular ring …

Let R be a left and right Noetherian ring. We introduce the notion of the torsionfree
dimension of finitely generated R-modules. For any n≧0, we prove that R is a Gorenstein …

Auslander-type conditions and cotorsion pairs Page 1 Journal of Algebra 318 (2007) 93–110
www.elsevier.com/locate/jalgebra Auslander-type conditions and cotorsion pairs Zhaoyong …

The notion of ω-k-torsionfree modules with respect to a bimodule ω is introduced, which is
characterized in terms of left add R ω-approximations. The notion of ω-left approximation …

We discuss past and current research on Noetherian rings which satisfy a condition
introduced by Auslander involving the homological grade of modules. These rings include …

Selforthogonal modules with finite injective dimension II Page 1 Journal of Algebra 264 (2003)
262–268 www.elsevier.com/locate/jalgebra Selforthogonal modules with finite injective …

k-torsionfree modules and Frobenius extensions - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

Let R and S be rings and RωS a semidualizing bimodule. We investigate when the double
functor TorS i (ω, Exti R (ω,−)) preserves epimorphisms and the double functor Exti R (ω …