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math.AC2005
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…
math.AC2005
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…