Can different Hypercomplex Dimensions be operated?

arithmetic quaternions hypercomplex-numbers

Can we make a product or a sum of quaternions with complexes ? Or maybe is it legal to convert complex to higher dimension.

Like (5 + 2i) * (-4 + 1i + 4j + 3k)


Solution 1:

If you take tessarines (or bicomplex numbers), you definitely can multiply or add complex numbers to them, because they include complex numbers.

Related

Find the range of values for $a+b$ when $y=-\frac{1}{8}x^2+ax+b$ is tangent to the $x-$axis.
the product of topological spaces is compact, then each of its factors is compact.
Proving/refuting the complex functions: $\sqrt{z(1-z)}$ and $\sqrt{z}\sqrt{1-z}$ are the same in $\mathbb{C}\backslash((-\infty,0]\cup[1,\infty))$
Calculating the independence sum of variance
Picard group of UFD is trivial
BCH code $F^{q}_{2}$ field
Basis free description of direct sum-tensor product natural isomorphism
Show that $E^2(XY) \leq E(X^2)E(Y^2)$.
Discovering and describing the homomorphisms returned by the sagemath function direct_product()
Integral Representation of $F(n)$
What is the requisite knowledge in logic required to study forcing?
How to prove $\sum_{r=0}^{n}\left(-1\right)^r\binom{n}{r}\left(n-r\right)^n=n!$ [duplicate]