Discrete Valuations Extend to Certain Algebras of Quantum Type

DOI10.1080/02560049608542646zbMath0865.16031OpenAlexW4243805520MaRDI QIDQ4892909

Moawad Hussein, Freddy M. J. van Oystaeyen

Publication date: 21 May 1997

Full work available at URL: https://doi.org/10.1080/02560049608542646

zbMATH Keywords

skew fields of fractionsquantized algebrasdiscrete valuationsgraded Ore domains

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (4)

Discrete valuations on Weyl skew fields ⋮ Reductions and global dimension of quantized algebras over a regular commutative domain ⋮ Valuation extensions of algebras defined by monic Gröbner bases. ⋮ Good reduction of good filtrations at places.

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