Throughout this paper A denotes an artin algebra over a commutative artin ring R; ie, A is an
R-algebra which is finitely generated as an R-module. All A-modules are assumed to …

Let 0—X→ Y→ Z–0 be an almost split sequence in the category of R-modules and suppose
Z is finitely presented. A modeltheoretic characterization of X in terms of Z is given, as well …

Modules Determined by Their Tops and First Syzygies Page 1 Communications in Algebra®,
35: 1223–1225, 2007 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 print/1532-4125 …

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 …

The study of almost split sequences, and their arrangement in the Auslander-Reiten quiver,
has proven a powerful tool for understanding the structure of the module category of a finite …

Let kG be the group algebra of a finite group G over a field k of characteristic p. For any non-
projective indecomposable right &G-module W, there is a so called Auslander-Reiten …

MODULES NOT BEING THE MIDDLE OF SHORT CHAINS Page 1 The Quarterly Journal of
Mathematics Advance Access published on December 23, 2012 Quart. J. Math. 64 (2013) …

Almost Projective Modules over Artin Algebras Page 1 JOURNAL, OF THE CHUNG CHE
ONG MATHEMATICAL, SOCIETY Volume 1, June 1988 Almost Projective Modules over Artin …