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 finiteness condition or a homological property. The finiteness conditions and homological properties ar...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Oxford
Oxford University Press
2012
|
| Edition: | First edition |
| Series: | Oxford mathematical monographs
|
| Subjects: | |
| Online Access: | FAW01 FAW02 TUM01 UBT01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (X, 220 Seiten) |
| ISBN: | 9780191746024 |
| DOI: | 10.1093/acprof:oso/9780199664511.001.0001 |
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| author | Jain, Surender K. 1938- Srivastava, Ashish K. Tuganbaev, Askar A. |
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| id | DE-604.BV043057796 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:10Z |
| institution | BVB |
| isbn | 9780191746024 |
| language | English |
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| spelling | Jain, Surender K. 1938- Verfasser (DE-588)115598480 aut Cyclic modules and the structure of rings S.K. Jain, Ashish K. Srivastava, Askar A. Tuganbaev First edition Oxford Oxford University Press 2012 1 Online-Ressource (X, 220 Seiten) txt rdacontent c rdamedia cr rdacarrier Oxford mathematical monographs 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 MATHEMATICS / Algebra / Intermediate bisacsh Noncommutative rings fast Noncommutative rings Ringtheorie (DE-588)4126571-3 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Zyklische Algebra (DE-588)4597748-3 gnd rswk-swf Modul (DE-588)4129770-2 s Zyklische Algebra (DE-588)4597748-3 s Ringtheorie (DE-588)4126571-3 s DE-604 Srivastava, Ashish K. Verfasser (DE-588)1034540963 aut Tuganbaev, Askar A. Verfasser (DE-588)103454148X aut Erscheint auch als Druck-Ausgabe 978-0-19-966451-1 https://doi.org/10.1093/acprof:oso/9780199664511.001.0001 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Jain, Surender K. 1938- Srivastava, Ashish K. Tuganbaev, Askar A. Cyclic modules and the structure of rings MATHEMATICS / Algebra / Intermediate bisacsh Noncommutative rings fast Noncommutative rings Ringtheorie (DE-588)4126571-3 gnd Modul (DE-588)4129770-2 gnd Zyklische Algebra (DE-588)4597748-3 gnd |
| subject_GND | (DE-588)4126571-3 (DE-588)4129770-2 (DE-588)4597748-3 |
| title | Cyclic modules and the structure of rings |
| title_auth | Cyclic modules and the structure of rings |
| title_exact_search | Cyclic modules and the structure of rings |
| title_full | Cyclic modules and the structure of rings S.K. Jain, Ashish K. Srivastava, Askar A. Tuganbaev |
| title_fullStr | Cyclic modules and the structure of rings S.K. Jain, Ashish K. Srivastava, Askar A. Tuganbaev |
| title_full_unstemmed | Cyclic modules and the structure of rings S.K. Jain, Ashish K. Srivastava, Askar A. Tuganbaev |
| title_short | Cyclic modules and the structure of rings |
| title_sort | cyclic modules and the structure of rings |
| topic | MATHEMATICS / Algebra / Intermediate bisacsh Noncommutative rings fast Noncommutative rings Ringtheorie (DE-588)4126571-3 gnd Modul (DE-588)4129770-2 gnd Zyklische Algebra (DE-588)4597748-3 gnd |
| topic_facet | MATHEMATICS / Algebra / Intermediate Noncommutative rings Ringtheorie Modul Zyklische Algebra |
| url | https://doi.org/10.1093/acprof:oso/9780199664511.001.0001 |
| work_keys_str_mv | AT jainsurenderk cyclicmodulesandthestructureofrings AT srivastavaashishk cyclicmodulesandthestructureofrings AT tuganbaevaskara cyclicmodulesandthestructureofrings |