A New Proof that “Krull implies Zorn”

✍ Scribed by Bernhard Banaschewski

• Publisher: John Wiley and Sons
• Year: 1994
• Tongue: English
• Weight: 163 KB
• Volume: 40
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.19940400405

✦ Synopsis

Abstract

In the present note we give a direct deduction of the Axiom of Choice from the Maximal Ideal Theorem for commutative rings with unit.

Mathematics Subject Classification: 03E25, 04A25, 13A15.