so one of the things these alqc-like posts coupd be great for is educational material
for exanple, what does it nean if a field is abelion or not?
abelian seems like a cool and useful word! chatgpt was vague on strictly what operations fall under the term with respect to a field.
it sounds possibly like "abelian" is usually used with "group" rather than "field" but that a field contains abelian groups
it sounds like abelian is an adjective used mostly with mathematical groups, generally infinite sets of number-like entities mutated to each other by a strictly commutative operation which the group is said to be diacussed "under" kind of
curious about it still but it's a solid example
entering the specifics of the use in alqc is likely an adaptive rabbit hole
but it may be that a non-abelian field could be for example a field that contains no useable operations that must be abelian -- this may likely directly contradict the definition of a field