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Results tagged with noncommutative-algebra
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user 14639
Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras
15
votes
1
answer
588
views
Is the ring of quaternionic polynomials factorial?
Denote by $\mathbb{H}[x_1,\dots,x_n]$ the ring of polynomials in $n$ variables with quaternionic coefficients, where the variables commute with each other and with the coefficients. Two polynomials $P …
- 1,488
16
votes
Accepted
Is the ring of quaternionic polynomials factorial?
Just to remove the question from the 'Unanswered' list:
$(x-i)\cdot((x+i)(y+j)+1)=((y+j)(x+i)+1)\cdot(x-i)$, hence $\mathbb{H}[x,y]$ is not factorial.
- 1,488