Unramified reductors of filtered and graded algebrasUnramified reductors of filtered and graded algebras
Faculty of Sciences. Mathematics and Computer Science
Bulletin of the Belgian Mathematical Society Simon Stevin. - Brussels, 1994, currens
15(2008):4, p. 625-634
University of Antwerp
Most of the algebras appearing in the theory of rings of differential operators, quantized algebras of different kinds (including many quantum groups), regular algebras in projective non-commutative geometry, etc... come equipped with a natural gradation or filtration controlled by some finite dimensional vector space(s), e.g. the degree one part of filtration or gradation. In this note we relate the valuations of the algebras considered to unramified sub-lattices in some vector space(s).