Ring Theory

Ring Theory is a theory that is taught in the undergraduate courses of our universities and contains the basic tools of algebraic geometry in general. Its main motivation is to be able to do arithmetic with integers in new ring classes. In this respect, it relies entirely on the ability to think abstractly. Naming things and establishing relationships between them is the starting point of this process. The possibilities these new structures offer us are quite surprising.
In this book, we tried to present the first seven chapters taught at the undergraduate level in as much detail as possible, with clear proofs and solved questions. Secondly, we have written the last four chapters for undergraduate and graduate students who want to do research on these topics. Our main goal is to get them to the level where they can read articles on this subject.
We hope that the reader will develop reasoning skills and acquire the habit of proving by trying to solve the solved questions and the end-of-chapter questions.
Hope the book will be useful to all readers...