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Author:   G. Puninski
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2001
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789401038621

ISBN 10:   9401038627
Pages:   226
Publication Date:   10 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

1 Basic Notions.- 1.1 Preliminaries.- 1.2 Dimensions.- 1.3 Basic ring theory.- 1.4 Serial rings and modules.- 1.5 Ore sets.- 1.6 Semigroup rings.- 2 Finitely Presented Modules over Serial Rings.- 3 Prime Ideals in Serial Rings.- 4 Classical Localizations in Serial Rings.- 5 Serial Rings with the A.C.C. on annihilators and Nonsingular Serial Rings.- 5.1 Serial rings with a.c.c. on annihilators.- 5.2 Nonsingular serial rings.- 6 Serial Prime Goldie Rings.- 7 Noetherian Serial Rings.- 8 Artinian Serial Rings.- 8.1 General theory.- 8.2 d-rings and group rings.- 9 Serial Rings with Krull Dimension.- 10 Model Theory for Modules.- 11 Indecomposable Pure Injective Modules over Serial Rings.- 12 Super-Decomposable Pure Injective Modules over Commutative Valuation Rings.- 13 Pure Injective Modules over Commutative Valuation Domains.- 14 Pure Projective Modules over Nearly Simple Uniserial Domains.- 15 Pure Projective Modules over Exceptional Uniserial Rings.- 16 ?-Pure Injective Modules over Serial Rings.- 17 Endomorphism Rings of Artinian Modules.- Notations.

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