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<p>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. <b>53</b>(2), 384–386 <CitationRef CitationID="CR27">1998</CitationRef>).</p>

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

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Arturo Niño,
  • María Camila Ramírez,
  • Armando Reyes

摘要

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).