105 citations · 107 across the 9 of their papers we have counts for
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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…
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…
Hypersurfaces of bounded Cohen--Macaulay type
Graham J. Leuschke, Roger Wiegand
Let R = k[[x_0,...,x_d]]/(f), where k is a field and f is a non-zero non-unit of the formal power series ring k[[x_0,...,x_d]]. We investigate the question of which rings of this f…