# Algebraic dependence of commuting elements in algebras

@inproceedings{Silvestrov2007AlgebraicDO, title={Algebraic dependence of commuting elements in algebras}, author={S. Silvestrov and Christian Svensson and M. Jeu}, year={2007} }

The aim of this paper to draw attention to several aspects of the algebraic dependence in algebras. The article starts with discussions of the algebraic dependence problem in commutative algebras. Then the Burchnall-Chaundy construction for proving algebraic dependence and obtaining the corresponding algebraic curves for commuting differential operators in the Heisenberg algebra is reviewed. Next some old and new results on algebraic dependence of commuting q-difference operators and elements… Expand

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