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 ...

During semesters that I am teaching from the notes, I often make changes to the version of the notes in the ConstructionZone directory. Versions in the other directories are battled-tested and good to ...

This book is mainly intended for first-year University students who undertake a basic abstract algebra course, as well as instructors. It contains the basic notions of abstract algebra through solved ...

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.

ABSTRACT: In this paper, we investigate the algebraic structure of certain 2-generator groups of permutations of the integers. The groups fall into two infinite classes: one class terminates with the ...