Honestly I'm not sure if this question is appropriate here so I will likely remove it after I get an answer unless I am told otherwise.
This comment on reddit https://www.reddit.com/r/math/comments/svtkv3/how_do_ivy_league_undergraduate_get_through_high/hxjklsr/ mentions a paper stating that distributivity of addition over multiplication implies a boolean algebra.
However, I cannot see any proof of this and in fact it seems like it is false as De Morgan algebras are not boolean algebras and yet satisy distributivity in addition and multiplication.
I am curious if anyone knows what paper might be being talked about here, or otherwise knows what structure the statement might be true over. Any information would be helpful as I'm not sure where to look.