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arXiv · 2112.00613

Polynomial in Non-Commutative Algebra

Aleks Kleyn
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Abstract

I considered definition and properties of polynomial in no-commutative algebra. There exists polynomial which has finite, infinite or empty set of roots. For instance, the polynomial $$p_1(x)=ix-xi-1$$ have no root and the polynomial $$p_k(x)=ix-xi-k$$ has the set of roots $$x=C_1+C_2i+\frac 12 j$$ I considered division of polynomials with remainder.

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Aleks Kleyn. 2021-11-30. Polynomial in Non-Commutative Algebra. https://arxiv.org/abs/2112.00613

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