17 citations · 61 across the 13 of their papers we have counts for
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math.RA2013
Centralizers and pseudo-degree functions
Johan Richter
We study centralizers in certain algebras with valuation in order to generalize results by Hellström and Silvestrov on centralizers in graded algebras. We prove that the centralize…
math.RA2013★ 1 cited
Burchnall-Chaundy theory for Ore extensions
Johan Richter
We begin by reviewing a classical result on the algebraic dependence of commuting elements in Weyl algebras. We proceed by describing generalizations of this result to various clas…
math.RA2013
Centralizers in Ore extensions of polynomial rings
Johan Richter, Sergei Silvestrov
In this paper we consider centralizers of single elements in Ore extensions of the ring of polynomials in one variable over a field. We show that they are commutative and finitely…