Notes on splitting fields

TL;DR

This paper provides introductory insights into splitting fields for modules over k-algebras, aiming to clarify foundational concepts in algebra.

Contribution

It offers an accessible overview of splitting fields for modules over k-algebras, filling a gap in introductory algebra literature.

Findings

Clarifies the concept of splitting fields for modules

Provides foundational definitions and properties

Serves as an educational resource

Abstract

These notes include introductory material on the notion of splitting fields for modules over a k-algebra where k is a field.