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4 papers · 1 filter
Valuation Extensions of Filtered and Graded Algebras
C. Baetica, F. Van Oystaeyen
In this note we relate the valuations of the algebras appearing in the non-commutative geometry of quantized algebras to properties of sub-lattices in some vector spaces. We consid…
Good Reduction of Good Filtrations at Places
Toukaiddine Petit, Freddy Van Oystaeyen
We consider filtered or graded algebras over a field . Assume that there is a discrete valuation of with its maximal ideal and its residue fie…
The equivariant Brauer group of a group
S. Caenepeel, F. Van Oystaeyen, Y. H. Zhang
We consider the Brauer group of a group (finite or infinite) over a commutative ring with identity. A split exact sequence $$1\longrightarrow {\rm Br}'(k)\…
Isolated singularities, smooth orders and Auslander regularity
Raf Bocklandt, Lieven Le Bruyn, Stijn Symens
In this note we prove that a smooth order satisfying the reverse geometric engineering of singularities conditions in stringtheory (in any compactifying dimension) is Auslander reg…