Rings And Ideals: Carus Mathematical Monographs, No. 8

Rings and Ideals: Carus Mathematical Monographs, No. 8 is a comprehensive guide to the theory of rings and ideals written by Neal Henry McCoy. The book is designed to provide a thorough understanding of the topic, beginning with the basic definitions and properties of rings and ideals, and progressing to more advanced concepts such as modules, homomorphisms, and quotient rings.The book is divided into three parts, with the first part focusing on the theory of rings, including commutative and non-commutative rings, integral domains, and fields. The second part covers the theory of ideals, including prime and maximal ideals, and the third part focuses on the applications of rings and ideals in algebraic geometry and algebraic number theory.Throughout the book, the author provides numerous examples and exercises to help readers develop their understanding of the material. The book is intended for graduate students and researchers in mathematics, but it can also be used as a reference for advanced undergraduate courses in algebra. With its clear explanations and comprehensive coverage, Rings and Ideals is an essential resource for anyone interested in the theory of rings and ideals.Additional Editors Are Garrett Birkhoff, E. F. Beckenbach, J. L. Synge, And H. S. M. Coxeter.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.