Cyclic Modules and the Structure of Rings

Cyclic Modules and the Structure of Rings This unique and comprehensive volume provides an up to date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a fin

  • Title: Cyclic Modules and the Structure of Rings
  • Author: Surender K. Jain Ashish K. Srivastava Askar A. Tuganbaev
  • ISBN: 9780199664511
  • Page: 234
  • Format: Hardcover
  • This unique and comprehensive volume provides an up to date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property The finiteness conditions and homological properties are closely interrelated in the sense that either hypothesis induces the otheThis unique and comprehensive volume provides an up to date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property The finiteness conditions and homological properties are closely interrelated in the sense that either hypothesis induces the other in some form This is the first book to bring all of this important material on the subject together Over the last 25 years or numerous mathematicians have investigated rings whose factor rings or factor modules have a finiteness condition or a homological property They made important contributions leading to new directions and questions, which are listed at the end of each chapter for the benefit of future researchers There is a wealth of material on the topic which is combined in this book, it contains than 200 references and is not claimed to be exhaustive This book will appeal to graduate students, researchers, and professionals in algebra with a knowledge of basic noncommutative ring theory, as well as module theory and homological algebra, equivalent to a one year graduate course in the theory of rings and modules.

    One thought on “Cyclic Modules and the Structure of Rings”

    Leave a Reply

    Your email address will not be published. Required fields are marked *