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 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: The present paper is devoted to the generalized multi parameters golden ratio. Variety of features like two-dimensional continued fractions, and conjectures on geometrical properties ...

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 ...