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Extensions of Rings and Modules (Record no. 43144)

MARC details
000 -LEADER
fixed length control field 04010nam a22004937a 4500
001 - CONTROL NUMBER
control field sulb-eb0021052
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160413122128.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130719s2013 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387927169
-- 978-0-387-92716-9
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-387-92716-9
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA150-272
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBF
Source bicssc
Subject category code MAT002000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Birkenmeier, Gary F.
Relator term author.
245 10 - TITLE STATEMENT
Title Extensions of Rings and Modules
Medium [electronic resource] /
Statement of responsibility, etc. by Gary F. Birkenmeier, Jae Keol Park, S Tariq Rizvi.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent XX, 432 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preliminaries and Basic Results -- Injectivity and Some of Its Generalizations -- Baer, Rickart, and Quasi-Baer Rings -- Baer, Quasi-Baer Modules, and Their Applications -- Triangular Matrix Representations and Triangular Matrix Extensions -- Matrix, Polynomial, and Group Ring Extensions -- Essential Overring Extensions - Beyond the Maximal Ring of Quotients -- Ring and Module Hulls -- Hulls of Ring Extensions.-  Applications to Rings of Quotients and C* Algebras -- Open Problems and Questions -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions. The first four chapters of the book discuss rings and modules which generalize injectivity (e.g., extending modules), or for which certain annihilators become direct summands (e.g., Baer rings). Ring extensions such as matrix, polynomial, group ring, and essential extensions of rings from the aforementioned classes are considered in the next three chapters. A theory of ring and module hulls relative to a specific class of rings or modules is introduced and developed in the following two chapters. While applications of the results presented can be found throughout the book, the final chapter mainly consists of applications to algebra and functional analysis. These include obtaining characterizations of rings of quotients as direct products of prime rings and descriptions of certain C*-algebras via (quasi-)Baer rings. Extensions of Rings and Modules introduces for the first time in book form: * Baer, quasi-Baer, and Rickart modules   * The theory of generalized triangular matrix rings via sets of triangulating idempotents * A discussion of essential overrings that are not rings of quotients of a base ring and Osofsky's study on the self-injectivity of the injective hull of a ring * Applications of the theory of quasi-Baer rings to C*-algebras Each section of the book is enriched with examples and exercises which make this monograph useful not only for experts but also as a text for advanced graduate courses. Historical notes appear at the end of each chapter, and a list of Open Problems and Questions is provided to stimulate further research in this area. With over 400 references, Extensions of Rings and Modules will be of interest to researchers in algebra and analysis and to advanced graduate students in mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element Matrix theory.
Topical term or geographic name as entry element Functional analysis.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element Functional Analysis.
Topical term or geographic name as entry element Linear and Multilinear Algebras, Matrix Theory.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Park, Jae Keol.
Relator term author.
Personal name Rizvi, S Tariq.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387927152
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-0-387-92716-9">http://dx.doi.org/10.1007/978-0-387-92716-9</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type

No items available.