ABSTRACT

Exercises for Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

In this chapter, we introduce PI-algebras and review some well-known results and techniques, most of which are associated with the structure theory of algebras. In this way, the tenor of this chapter is different from that of the subsequent chapters. The emphasis is on matrix algebras and their subalgebras (called representable PI-algebras) .