The student should be familiar with basic proof techniques, sets, functions, and relations, especially modular arithmetic and the congruence relation. These are covered on the course MS-A04XX ...

This course is an introduction to abstract algebra, covering both group theory and ring theory. Specific topics covered include an introduction to group theory, permutations, symmetric and dihedral ...

We created a graph of theorem and corollaries in Fraleigh's "A First Course in Abstract Algebra" with directed edges from theorems/corollaries to the previous theorems/corollarie/examples they ...

This repository contains the source code for the book titled Abstract Algebra Course Guide. The book is written in LaTex and maintained in this GitHub repository. The PDF compiled version of the book ...

ABSTRACT: This paper unfolds and reviews the theory of abstract algebra, field extensions and discusses various kinds of field extensions. Field extensions are said to be algebraic or transcendental.