105 citations · 107 across the 9 of their papers we have counts for
9 papers
Endomorphism rings of finite global dimension
Graham J. Leuschke
For a commutative local ring , consider (noncommutative) -algebras of the form where is a reflexive -module with nonzero free direct summand. Such al…
Factoring the Adjoint and Maximal Cohen--Macaulay Modules over the Generic Determinant
Ragnar-Olaf Buchweitz, Graham J. Leuschke
A question of Bergman asks whether the adjoint of the generic square matrix over a field can be factored nontrivially as a product of square matrices. We show that such factorizati…
The adjoint of an even size matrix factors
Graham J. Leuschke, Ragnar-Olaf Buchweitz
We show that the adjoint matrix of a generic square matrix of even size can be factored nontrivially, answering a question of G. Bergman. This note is a preliminary report on work…
Two theorems about maximal Cohen--Macaulay modules
Craig Huneke, Graham J. Leuschke
This paper contains two theorems concerning the theory of maximal Cohen--Macaulay modules. The first theorem proves that certain Ext groups between maximal Cohen--Macaulay modules…
On a conjecture of Auslander and Reiten
Craig Huneke, Graham Leuschke
In studying Nakayama's 1958 conjecture on rings of infinite dominant dimension, Auslander and Reiten proposed the following generalization: Let Lambda be an Artin algebra and M a L…
Local rings of bounded Cohen-Macaulay type
Graham J. Leuschke, Roger Wiegand
Let (R,m,k) be a local Cohen-Macaulay (CM) ring of dimension one. It is known that R has finite CM type if and only if R is reduced and has bounded CM type. Here we study the one-d…