On splitting polynomials with noncommutative coefficients

Details On splitting polynomials with noncommutative coefficients On splitting polynomials with noncommutative coefficients

2007-12-19

arxiv.org/abs/0712.3092v3

Mathematics

Quantum Algebra

An example analyzed in more detail, grant number corrected

Scientific paper

It 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.

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