Ring Constructions & Applications (Series in Algebra, Volume 9)

This study contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems considered in the literature. The volume can be used as an introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs.