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Acta Mathematica Vietnamica

A First Approach to the Burchnall-Chaundy Theory for Quadratic Algebras Having PBW Bases

Arturo Niño , María Camila Ramírez , icon-email Armando Reyes

Abstract

In this paper, we present a first approach toward a Burchnall-Chaundy theory for the skew Ore polynomials of higher order generated by quadratic relations defined by Golovashkin and Maksimov (Russian Math. Surv. 53(2), 384–386 1998).