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.

Meta Tags

Mathematics, Algebra, Ring theory

Files

Collection

Citation

Tiana Song, “Formation of fractions: an introduction to Goldie’s theorem on quotient rings,” URSS SHOWCASE, accessed November 3, 2025, https://linen-dog.lnx.warwick.ac.uk/items/show/838.