A Textbook of B.Sc. Mathematics | Ring Theory | For B.A/B.Sc. Mathematics Second Year Second Semester Students of the Universities in Andhra Pradesh

This book is designed for B.A./B. Sc. Mathematics Second Year (Second Semester) Students of the Universities in Andhra Pradesh. Designed to strengthen your foundational understanding, this book effortlessly merges the theory with practical applications, making complex concepts accessible and engaging. The book is divided into Five Units. Unit I: Rings and Fields introduces the fundamental concepts of rings, fields, and integral domains, establishing a strong base for abstract algebra.

Unit II: Subrings and Ideals delves into the structure of subrings, properties of ideals, and their significance in ring theory.

Unit III: Principal Ideals and Quotient Rings focuses on the formation and applications of principal ideals and the concept of quotient rings.

Unit IV: Homomorphisms of Rings provides an extensive study of ring homomorphisms, their properties, and their role in understanding ring structures.

Unit V: Ring of Polynomials explores polynomial rings, their operations, and applications in advanced algebraic contexts.