A ] 2 5 A ug 2 00 5 Factorization in Quantized Weyl Algebras

Abstract

Let q be a nonzero scalar. The quantized Weyl algebra Aq 1 (F ) is a noncommutative ring generated by variables x, y such that yx = qxy + 1. We study factorization in Aq 1 (F ) and consider irreducible and prime elements. We classify irreducible quadratic forms and identify two important classes. A result on Ore extensions is needed to describe prime… (More)

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