Let R be a regular local ring and let A be an R-algebra which is a finitely generated free R-
module. We say that A is nonsingular if gl. dim A dim R. We say that A is an isolated …

Let R be an integrally closed complete local commutative noetherian Cohen-Macaulay
domain with maximal ideal m and R/m= k an algebraically closed field. We abbreviate …

Let $ R $ be a complete local two-dimensional integrally closed noetherian nonregular
Gorenstein domain with maximal ideal $ m $ over an algebraically closed field $ k $, such …

Let ℤ denote the integers and R= ∐ i ∈ Z R_i a ℤ-graded commutative ring with R 0= ka
field, R i=(0) when i< 0, and where R is generated as ak-algebra by a finite number of …

Let A be an artin algebra, for example a finite dimensional algebra over a field k and C an
indecomposable nonprojective finitely generated left A-module. Then there is an exact …

The paper deals with almost split sequences. Introduced in [2] for the category mod A of
finitely generated modules over an artin algebra A, almost split sequences were later found …

The purpose of this survey is to introduce some of the ideas and results in the theory of finite
dimensional algebras to researchers in singularity theory and the theory of vector bundles …

The torsion‐free part of the Ziegler spectrum of orders over Dedekind domains - Gregory - 2020
- Mathematical Logic Quarterly - Wiley Online Library Skip to Article Content Skip to Article …

Let O be a complete discrete valuation ring, κ the residue field of O, A a symmetric O-order.
In this paper, we report that if A⊗ κ is of representation-finite, then the configurations of …

The notion of almost split sequences was introduced by M. Auslander and I. Reiten in [AR1],
and they showed the existence of almost split sequences for Artin algebras. We often use …