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A theory of residues for skew rational functions

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Publication:2041573
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DOI10.5802/jep.169zbMath1482.16039arXiv1908.08430OpenAlexW3175236724MaRDI QIDQ2041573

Xavier Caruso

Publication date: 23 July 2021

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08430


zbMATH Keywords

skew polynomialsresidues


Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Skew fields, division rings (12E15)


Related Items (3)

Duals of linearized Reed-Solomon codes ⋮ The geometry of one-weight codes in the sum-rank metric ⋮ Codes in the Sum-Rank Metric: Fundamentals and Applications



Cites Work

  • A general theory of Vandermonde matrices
  • Vandermonde and Wronskian matrices over division rings
  • Linear equations in non-commutative fields
  • Skew and linearized Reed-Solomon codes and maximum sum rank distance codes over any division ring
  • Theory of non-commutative polynomials
  • Non-commutative polynomials and cyclic algebras
  • Pseudo-linear transformations
  • Duals of linearized Reed-Solomon codes
  • Finite-Dimensional Division Algebras over Fields
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