Burchnall-Chaundy annihilating polynomials for commuting elements in Ore extension rings

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Abstract

In this article further progress is made in extending the Burchnall-Chaundy type determinant construction of annihilating polynomial for commuting elements to broader classes of rings and algebras by deducing an explicit general formula for the coefficients of the annihilating polynomial obtained by the Burchnall-Chaundy type determinant construction in Ore extension rings. It is also demonstrated how this formula can be used to compute the annihilating polynomials in several examples of commuting elements in Ore extensions. Also it is demonstrated that additional properties which may be possessed by the endomorphism, such as for example injectivity, may influence strongly the annihilating polynomial.

Detaljer

Författare
  • Johan Richter
  • Sergei Silvestrov
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
TidskriftJournal of Physics: Conference Series
Volym346
StatusPublished - 2012
PublikationskategoriForskning
Peer review utfördJa