Noetherian information systems
These are notes for a colloquium talk to be given at NITheCS. The Snake Lemma from this fragment of a 1980 film ("It's My Turn", starring Jill Clayburgh and Michael Douglas), along with many other similar theorems in abstract algebra, known to be true for a variety different algebraic settings, can all be established in a unified setting of noetherian forms. This post attempts to give a preliminary step towards a possibly ambitious goal of applying noetherian forms outside abstract mathematics. In this light we propose a variation of this notion, a "noetherian information system", which is intended to be more agile in terms of identifying applications. General Information Systems By a network we mean a web of devices and directed binary channels between them ( = a graph in the sense of category theory). An information system over a network consisting of just one device and no channels, is a collection of information clusters , where some clusters may be par