Ideal Theory in Rings

Hanneli Tavante will present Ideal Theory in Rings by Emily Noether

[Translated by D. Berlyne]

https://arxiv.org/pdf/1401.2577.pdf

Mixing concepts from mathematics, history and programming, this presentation will sum up some of the main ideas of 'Ideal Theory in Rings', written in 1921, and propose a different approach for thinking in abstractions when writing code.

Emmy Noether played an important role in the formalization and definitions of abstract algebraic structures. Programming is closely related to abstraction and we can use some of the ideas in this field to write better programs. This paper will bring some concepts of modern algebra categorized by Noether, such as many types of rings, groups and others. After a set of definitions, we will see an example of an application in code (in Python, Ruby, Haskell or Scala).