On splitting polynomials with noncommutative coefficients

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dc.creatorMaszczyk, Tomasz
dc.date2007-12-19
dc.date2009-05-24
dc.date.accessioned2026-07-07T13:17:16Z
dc.date.available2026-07-07T13:17:16Z
dc.descriptionIt is shown that for every splitting of a polynomial with noncommutative coefficients into linear factors $(X-a_{k})$ with $a_{k}$'s commuting with coefficients, any cyclic permutation of linear factors gives the same result and all $a_{k}$ are roots of that polynomial. Examples are given and analyzed from Galois theory point of view.
dc.descriptionAn example analyzed in more detail, grant number corrected
dc.identifierhttps://arxiv.org/abs/0712.3092
dc.identifierhttp://arxiv.org/abs/0712.3092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231059
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject13P05; 16U80; 15A30
dc.titleOn splitting polynomials with noncommutative coefficients
dc.typetext

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