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Cyclic Modules and the Structure of Rings by S.K. Jain: Used
US $208.22
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Item specifics
- Condition
- Book Title
- Cyclic Modules and the Structure of Rings
- Publication Date
- 2012-09-27
- ISBN
- 9780199664511
- Subject Area
- Mathematics
- Publication Name
- Cyclic Modules and the Structure of Rings
- Publisher
- Oxford University Press, Incorporated
- Item Length
- 9.2 in
- Subject
- General, Algebra / General
- Publication Year
- 2012
- Series
- Oxford Mathematical Monographs
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.7 in
- Item Weight
- 17.1 Oz
- Item Width
- 6.6 in
- Number of Pages
- 232 Pages
About this product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
019966451X
ISBN-13
9780199664511
eBay Product ID (ePID)
9038258607
Product Key Features
Number of Pages
232 Pages
Publication Name
Cyclic Modules and the Structure of Rings
Language
English
Subject
General, Algebra / General
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Series
Oxford Mathematical Monographs
Format
Hardcover
Dimensions
Item Height
0.7 in
Item Weight
17.1 Oz
Item Length
9.2 in
Item Width
6.6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2012-942948
Dewey Edition
23
Dewey Decimal
512.4
Table Of Content
Preface1. Preliminaries2. Rings characterized by their proper factor rings3. Rings each of whose proper cyclic modules has a chain condition4. Rings each of whose cyclic modules is injective (or CS)5. Rings each of whose proper cyclic modules is injective6. Rings each of whose simple modules is injective (or -injective)7. Rings each of whose (proper) cyclic modules is quasi-injective8. Rings each of whose (proper) cyclic modules is continuous9. Rings each of whose (proper) cyclic modules is pi-injective10. Rings with cyclics @0-injective, weakly injective or quasi-projective11. Hypercyclic, q-hypercyclic and pi-hypercyclic rings12. Cyclic modules essentially embeddable in free modules13. Serial and distributive modules14. Rings characterized by decompositions of their cyclic modules15. Rings each of whose modules is a direct sum of cyclic modules16. Rings each of whose modules is an I0-module17. Completely integrally closed modules and rings18. Rings each of whose cyclic modules is completely integrally closed19. Rings characterized by their one-sided idealsReferencesIndex
Synopsis
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 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 more 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 more 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., 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 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 more 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 more 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., This unique monograph brings together important material in the field of noncommutative rings and modules. It provides an up-to-date account of the topic of cyclic modules and the structure of rings which will be of particular interest to those working in abstract algebra and to graduate students who are exploring potential research topics.
LC Classification Number
QA251.4
Item description from the seller
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