Description
(Text)
This book consists of two chapters, in chapter one reviewed some known definitions and some necessary lemmas which it used in the next chapter.chapter two consists of four sections:in section one defined and studied the concepts of (s, )-homomorphism, Jordan(s, )-homomorphism and Jordan triple(s, )-homomorphism on prime -ring. In section two defined and studied the concepts of generalized(s, )-homomorphism and generalized Jordan(s, )-homomorphism and generalized Jordan triple (s, )-homomorphism on prime -ring. In section three extend the results of section one, in this chapter into(s, )-higher homomorphism on prime -ring , and introduced the concept of Jordan (s, )-higher homomorphism on prime -ring. Finally in section four generalized the results of the previous section three in this chapter by introduced the concepts of generalized (s, )- higher homomorphism, generalized Jordan (s, )-higher homomorphism and generalized Jordan triple (s, )-higher homomorphism on prime -ring.