(Actually might play with this idea later in mathworks: Define an alternate polynomial like algebra such that it has the property that $p \neq 0 : deg (\frac{d p}{dx}) = deg (p)$)
To be decided later: Whether to include all the weird algebraic structures in this chat in the algebra topic, or to open a new chat called repository of abnormal, weird and unusual algebras instead
Mathworks (Not the main chat!)
Mathworks (Not the main chat!)