Preliminaries; Decompositions of rings; Artinian and Noetherian rings; Categories and functors; Projectives, injectives and flats; Homological dimensions; Integral domains; Dedekind domains; Goldie rings; Semiperfect rings; Quivers of rings; Serial rings and modules; Serial rings and their properties; Semiperfect semidistributive rings
Summary
Provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations, including the representations of quivers and finite partially ordered sets. This volume provides the theory of semiprime Noetherian semiperfect and semidistributive rings