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Cyclic Modules and the Structure of Rings
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Cyclic Modules and the Structure of Rings

S.K. Jain, Ashish K. Srivastava, and Askar A. Tuganbaev


This book 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. The main objective behind writing this volume is the absence of a book that contains most of the relevant material on the subject. Since before the last half century, numerous authors including Armendariz, Beidar, Camillo, Chatters, Cla ... More

Keywords: cyclic modules, proper cyclic modules, factor rings, injective modules, quasi-injective modules, continuous modules, π-injective modules, cS modules

Bibliographic Information

Print publication date: 2012 Print ISBN-13: 9780199664511
Published to Oxford Scholarship Online: January 2013 DOI:10.1093/acprof:oso/9780199664511.001.0001


Affiliations are at time of print publication.

S.K. Jain, author
King Abdulaziz University, SA and Ohio University, USA

Ashish K. Srivastava, author
Assistant Professor, Saint Louis University, USA

Askar A. Tuganbaev, author
Professor, Russian State University of Trade and Economics, Moscow, Russia

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