KnowraBoolean prime ideal theoremLinked fromLinked fromThe 4 pages that link to Boolean prime ideal theorem, each with the reason it gives.All 4Related 2Compared with 2Axiom of countable choiceCompared with: It is weaker than full choice, offering a useful comparison among set-theoretic choice principles.Krull's theoremCompared with: It is a weaker choice principle related to maximal ideals in Boolean algebras, not the full ring theorem.