Description
The book is divided in four chapters. First chapter is devoted to the development of Ring Theory, its basic concepts and properties. Chapter 2 deals with Ring Homomorphisms, Imbedding Theorems, Maximal and Prime Ideals. Polynomial Rings, Euclidean and Unique Factorization Domains have been discussed in chapter 3. The last chapter describes Field Extension and its applications to Ruler and Compass constructions. Some of the chief features of the book are : 1. The book covers the entire course of Unit XII as given in the prescribed Syllabus and Guidelines. 2 The subject matter is presented in a lucid and simple way. Many intrigu ing definitions and theorems have been greatly simplified and profusely illustrated with examples and counter-examples. 3. Factorization in Ring Theory and Ruler and Compass Constructions bear a fresh look in their presentation and treatment. 4. A large number of problems from standard text books are fully solved. It is my sincere hope that the book will meet the expectation of the students and help the.n understand the complexities and intricacies of Ring Theory.