Can there be a set of numbers, which have properties like those of quaternions, but of dimension 3?
26764
Proving that $\mathbb R^3$ cannot be made into a real division algebra (and that extending complex multiplication would not work)
60349
Schur's theorem and numbers
12732
Do any (non-trivial) 2-chains of Pythagorean triplets exist?
48127
Are there infinitely many $A\in \mathbb{C}^{2 \times 2}$ satisfying $A^3 = A$?
84700
Give the three numbers that form a geometric sequence.
146824
Relative rotation between quaternions
55787
Is there any matrix $2\times 2$ such that $A\neq I$ but $ A^3=I$?
50235
Numbering theorem-like environments
20486
Numbers representable as $x^2 + 2y^2$
71935
Let $k$ be a natural number . Then $3k+1$ , $4k+1$ and $6k+1$ cannot all be square numbers.
89621
Square roots of quaternions
93546
Galois group and the Quaternion group
75481
Switch axes and handedness of a quaternion?
90826
Constructing a subset not in $\mathcal{B}(\mathbb{R})$ explicitly
100565
Property of sup of a set of numbers
131108
Can $3p^4-3p^2+1$ be square number?
16693
Does this set of vectors span the space of all polynomials of degree at most 3?