Communications in Algebra · 2004 · 21 citations · 14 references
Natural SciencesMathematicsAlgebraNumber TheoryRepresentation TheoryAbstract AlgebraArithmetic GeometryCommutative AlgebraAssociated PrimesExtension DimensionModule TheoryOre Extensions
Abstract Let R be a ring and S = R[x;σ, δ] its Ore extension. For an R-module M R we investigate the uniform dimension and associated primes of the induced S-module M ⊗ R S. Key Words: Ore extensionsUniform dimensionAssociated primesInduced modulesMathematics Subject Classification: Primary 16S36Secondary 16P60 Acknowledgment The second author was supported by the Flemish–Polish bilateral agreement BIL 01/31. Notes #Communicated by E. Puczylowski.
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NONCOMMUTATIVE NOETHERIAN RINGS
P. M. Cohn · Bulletin of the London Mathematical Society · 1988 · 898 citations
Prime ideals in skew polynomial rings and quantized Weyl algebras
K. R. Goodearl · Journal of Algebra · 1992 · 140 citations