The Reverse Mathematics of Noether's Decomposition Lemma

Abstract: We will survey some recent results in the Reverse Mathematics of Noetherian Algebra, and in particular Noether's Decomposition Lemma which states that a Noetherian ring has only finitely many minimal prime ideals. Such an analysis naturally leads one to formulate a combinatorial principle, namely the Tree-Antichain Principle, which states that every binary-branching tree with infinitely many splittings has an infinite antichain.

logic

Audience: researchers in the topic

Computability theory and applications

Series comments: Description: Computability theory, logic

The goal of this endeavor is to run a seminar on the platform Zoom on a weekly basis, perhaps with alternating time slots each of which covers at least three out of four of Europe, North America, Asia, and New Zealand/Australia. While the meetings are always scheduled for Tuesdays, the timezone varies, so please refer to the calendar on the website for details about individual seminars.