586 citations
- Centre National de la Recherche ScientifiqueFR8 papers
- University of California, BerkeleyUS7 papers
- Canadian Institute for Theoretical AstrophysicsCA5 papers
- University of Notre DameUS5 papers
- California Institute of TechnologyUS4 papers
- University of Southern CaliforniaUS4 papers
- Engineering Systems (United States)US3 papers
- Laboratoire Charles FabryFR3 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR3 papers
- Massachusetts Institute of TechnologyUS3 papers
- Princeton UniversityUS3 papers
- Stony Brook UniversityUS3 papers
Showing math.ACShow all
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math.AC2005
Power series rings and projectivity
R. -O. Buchweitz, H. Flenner
We show that a formal power series ring over a noetherian ring is not a projective module unless is artinian. However, if is local, then $A[[X]…
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…
math.AC2002★ 2 cited
Extensions of a Dualizing Complex by its Ring: Commutative Versions of a Conjecture of Tachikawa
L. L. Avramov, R. -O. Buchweitz, L. M. Sega
Let $(R,\fm,k)$ be a commutative noetherian local ring with dualizing complex $\dua R$, normalized by $\Ext^{\depth(R)}_R(k,\dua R)\cong k$. Partly motivated by a long standing con…