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Serial Rings Book

Serial Rings
Serial Rings, This book presents an exhaustive and up-to-date overview of the structure theory of serial rings, and the various methods of treating them. Results have been scattered throughout the literature, and the achievements of some schools, such as the Kiev schoo, Serial Rings has a rating of 3.5 stars
   2 Ratings
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Serial Rings, This book presents an exhaustive and up-to-date overview of the structure theory of serial rings, and the various methods of treating them. Results have been scattered throughout the literature, and the achievements of some schools, such as the Kiev schoo, Serial Rings
3.5 out of 5 stars based on 2 reviews
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  • Serial Rings
  • Written by author Gennadi Puninski
  • Published by Springer-Verlag New York, LLC, August 2001
  • This book presents an exhaustive and up-to-date overview of the structure theory of serial rings, and the various methods of treating them. Results have been scattered throughout the literature, and the achievements of some schools, such as the Kiev schoo
  • This book presents an exhaustive and up-to-date overview of the structure theory of serial rings, and the various methods of treating them. Results have been scattered throughout the literature, and the achievements of some schools, such as the Kiev schoo
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Book Categories

Authors

Introduction
1Basic Notions1
2Finitely Presented Modules over Serial Rings20
3Prime Ideals in Serial Rings34
4Classical Localizations in Serial Rings41
5Serial Rings with the A.C.C. on annihilators and Nonsingular Serial Rings55
6Serial Prime Goldie Rings64
7Noetherian Serial Rings80
8Artinian Serial Rings93
9Serial Rings with Krull Dimension113
10Model Theory for Modules123
11Indecomposable Pure Injective Modules over Serial Rings136
12Super-Decomposable Pure Injective Modules over Commutative Valuation Rings151
13Pure Injective Modules over Commutative Valuation Domains163
14Pure Projective Modules over Nearly Simple Uniserial Domains172
15Pure Projective Modules over Exceptional Uniserial Rings187
16[Sigma]-Pure Injective Modules over Serial Rings198
17Endomorphism Rings of Artinian Modules206
Bibliography211
Notations221
Index224


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Serial Rings, This book presents an exhaustive and up-to-date overview of the structure theory of serial rings, and the various methods of treating them. Results have been scattered throughout the literature, and the achievements of some schools, such as the Kiev schoo, Serial Rings

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Serial Rings, This book presents an exhaustive and up-to-date overview of the structure theory of serial rings, and the various methods of treating them. Results have been scattered throughout the literature, and the achievements of some schools, such as the Kiev schoo, Serial Rings

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Serial Rings, This book presents an exhaustive and up-to-date overview of the structure theory of serial rings, and the various methods of treating them. Results have been scattered throughout the literature, and the achievements of some schools, such as the Kiev schoo, Serial Rings

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