An alternative approach to the structure theory of PI-rings

TL;DR

This paper presents a straightforward approach to the structure theory of prime PI-rings, focusing on Posner's theorem, by utilizing properties of the extended centroid.

Contribution

It introduces a simple, direct method for analyzing prime PI-rings, offering new insights into their structure through the extended centroid.

Findings

Simplifies the proof of Posner's theorem

Highlights the role of the extended centroid in PI-ring structure

Provides a more accessible approach to prime PI-ring analysis

Abstract

We expose a rather simple and direct approach to the structure theory of prime PI-rings ("Posner's theorem"), based on fundamental properties of the extended centroid of a prime ring.