Designed as a text for new research students and scholars of Mathematics, this well established and highly successful book provides a systematic treatment of the subject.The purpose of this book is to present an up to date account of non-commutative rings of the prime ideals and shows the importance of the subject through a variety of new ideals. The topics dealt with include non-commutative partial rings. The book concentrates on theoretical aspects and consists of six parts. The first part contains all the fundamental information necessary for using the remainder of the book; an informal...