A generalisation of Amitsur's A-polynomials

DOI10.2478/cm-2021-0025OpenAlexW3199272972MaRDI QIDQ2245615

Susanne Pumplün, Adam Owen

Publication date: 15 November 2021

Published in: Communications in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02423

zbMATH Keywords

skew polynomial ringeigenspacenonassociative algebrasemisimple Artinian ringreducible skew polynomials

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35)

Cites Work

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• Theory of non-commutative polynomials
• Differential polynomials and division algebras
• Non-commutative cyclic fields
• HOW A NONASSOCIATIVE ALGEBRA REFLECTS THE PROPERTIES OF A SKEW POLYNOMIAL
• Noncommutative Unique Factorization Domains
• Finite-Dimensional Division Algebras over Fields
• On Nonassociative Division Algebras

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