A graded Artin algebra is a graded ring which, neglecting the grading, is an Artin algebra.
Although this definition has the merit of brevity, it does not expose some of the basic …

ON THE REPRESENTATION THEORY OF RINGS IN MATRIX FORM Page 1 PACIFIC
JOURNAL OF MATHEMATICS Vol. 100, No. 1, 1982 ON THE REPRESENTATION THEORY …

On the homology of quotients of path algebras Page 1 COMMUNICATIONS IN ALGEBRA,
15(1&2), 309-341 (1987) ON THE HOMOLOGY OF QUOTIENTS OF PATH ALGEBRAS * David …

Having initiated the study of graded Artin algebras A in [91, here we initiate the study of their
representation theory. Our point of view is to study graded/i-modules, which we believe to be …

A module is called uniserial (or often simply serial) in case its lattice of submodules is a
chain. An artinian ring is called serial (or generalized uniserial) in case each of its …

A local theory of graded modules is introduced in this paper. In the case when the graded
ring is a quotient ring of a path algebra, it is shown how to retrieve the original algebra from …

The Cartan Matrix as an Indicator of Finite Global Dimension for Artinian Rings Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 95, Number 2 …

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 …

In this paper, I have attempted to outline the origins of the theory of finite dimensional
algebras over fields, with particular attention to representation theory. Hence, the treatment …

In this paper we study information which is contained in projective resolutions of modules
over left Artin rings. We begin by showing that given a left Artin ring of finite left global …