Formation of fractions: an introduction to Goldie’s theorem on quotient rings
Title
Formation of fractions: an introduction to Goldie’s theorem on quotient rings
Subject
Mathematics
Creator
Tiana Song
Date
2025
Abstract
The essay aims to present an introduction to some of Goldie’s work on rings and modules, assuming only a second-year undergraduate knowledge of ring theory. Specifically, we will focus on Goldie’s theory of the quotient ring of prime Noetherian rings, exploring the concepts and results that underpin his celebrated theorem.
Files
Collection
Citation
Tiana Song, “Formation of fractions: an introduction to Goldie’s theorem on quotient rings,” URSS SHOWCASE, accessed November 3, 2025, https://urss.warwick.ac.uk/items/show/838.