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Main Authors:	Dauns, John (Author), Zhou, Yiqiang (Author)
Format:	Book
Language:	English
Published:	Boca Raton, FL [u.a.] Chapman & Hall/CRC 2006
Series:	Pure and applied mathematics [281]
Subjects:	Anneaux (Algèbre) Ensembles, Théorie des Modules (Algèbre) Set theory Modules (Algebra) Rings (Algebra) Modultheorie Ringtheorie
Online Access:	Table of contents only Publisher description Inhaltsverzeichnis
Item Description:	Literaturverz. S. 205 - 213
Physical Description:	X, 218 S.
ISBN:	1584886609 9781584886600

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MARC


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adam_text	Contents Preface v Note to the Reader vii List of Symbols ix Chapter I. Preliminary Background 1 1.1. Notation and Terminology 1 1.2. Lattices 5 Chapter 2. Important Module Classes and Constructions 7 2.1. Torsion Theory 7 2.2. Module Class a[M] 12 2.3. Natural Classes 19 2.4. M-Natural Classes 24 2.5. Pre-Natural Classes 29 Chapter 3. Finiteness Conditions 33 3.1. Ascending Chain Conditions 33 3.2. Descending Chain Conditions 50 3.3. Covers and Ascending Chain Conditions 65 Chapter 4. Type Theory of Modules: Dimension 71 4.1. Type Submodules and Type Dimensions 71 4.2. Several Type Dimension Formulas 80 4.3. Some Non-Classical Finiteness Conditions 87 IV Chapter 5. Type Theory of Modules: Decompositions 107 5.1. Type Direct Sum Decompositions 108 5.2. Decomposability of Modules 117 5.3. Unique Type Closure Modules 132 5.4. TS-Modules 142 Chapter 6. Lattices of Module Classes 149 6.1. Lattice of Pre-Natural Classes 149 6.2. More Sublattice Structures 153 6.3. Lattice Properties of N?{R) 163 6.4. More Lattice Properties of N?{R) 177 6.5. Lattice Afr(R) and Its Applications 190 6.6. Boolean Ideal Lattice 200 References 205 Index 215
adam_txt	Contents Preface v Note to the Reader vii List of Symbols ix Chapter I. Preliminary Background 1 1.1. Notation and Terminology 1 1.2. Lattices 5 Chapter 2. Important Module Classes and Constructions 7 2.1. Torsion Theory 7 2.2. Module Class a[M] 12 2.3. Natural Classes 19 2.4. M-Natural Classes 24 2.5. Pre-Natural Classes 29 Chapter 3. Finiteness Conditions 33 3.1. Ascending Chain Conditions 33 3.2. Descending Chain Conditions 50 3.3. Covers and Ascending Chain Conditions 65 Chapter 4. Type Theory of Modules: Dimension 71 4.1. Type Submodules and Type Dimensions 71 4.2. Several Type Dimension Formulas 80 4.3. Some Non-Classical Finiteness Conditions 87 IV Chapter 5. Type Theory of Modules: Decompositions 107 5.1. Type Direct Sum Decompositions 108 5.2. Decomposability of Modules 117 5.3. Unique Type Closure Modules 132 5.4. TS-Modules 142 Chapter 6. Lattices of Module Classes 149 6.1. Lattice of Pre-Natural Classes 149 6.2. More Sublattice Structures 153 6.3. Lattice Properties of N?{R) 163 6.4. More Lattice Properties of N?{R) 177 6.5. Lattice Afr(R) and Its Applications 190 6.6. Boolean Ideal Lattice 200 References 205 Index 215
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institution	BVB
isbn	1584886609 9781584886600
language	English
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publishDate	2006
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publisher	Chapman & Hall/CRC
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series	Pure and applied mathematics
series2	Pure and applied mathematics Monographs and textsbooks in pure and applied mathematics
spelling	Dauns, John Verfasser aut Classes of modules John Dauns ; Yiqiang Zhou Boca Raton, FL [u.a.] Chapman & Hall/CRC 2006 X, 218 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics [281] Monographs and textsbooks in pure and applied mathematics Literaturverz. S. 205 - 213 Anneaux (Algèbre) Ensembles, Théorie des Modules (Algèbre) Set theory Modules (Algebra) Rings (Algebra) Modultheorie (DE-588)4170336-4 gnd rswk-swf Ringtheorie (DE-588)4126571-3 gnd rswk-swf Modultheorie (DE-588)4170336-4 s Ringtheorie (DE-588)4126571-3 s DE-604 Zhou, Yiqiang Verfasser aut Pure and applied mathematics [281] (DE-604)BV000001885 281 http://www.loc.gov/catdir/toc/fy0702/2006045438.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0654/2006045438-d.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016242547&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Dauns, John Zhou, Yiqiang Classes of modules Pure and applied mathematics Anneaux (Algèbre) Ensembles, Théorie des Modules (Algèbre) Set theory Modules (Algebra) Rings (Algebra) Modultheorie (DE-588)4170336-4 gnd Ringtheorie (DE-588)4126571-3 gnd
subject_GND	(DE-588)4170336-4 (DE-588)4126571-3
title	Classes of modules
title_auth	Classes of modules
title_exact_search	Classes of modules
title_exact_search_txtP	Classes of modules
title_full	Classes of modules John Dauns ; Yiqiang Zhou
title_fullStr	Classes of modules John Dauns ; Yiqiang Zhou
title_full_unstemmed	Classes of modules John Dauns ; Yiqiang Zhou
title_short	Classes of modules
title_sort	classes of modules
topic	Anneaux (Algèbre) Ensembles, Théorie des Modules (Algèbre) Set theory Modules (Algebra) Rings (Algebra) Modultheorie (DE-588)4170336-4 gnd Ringtheorie (DE-588)4126571-3 gnd
topic_facet	Anneaux (Algèbre) Ensembles, Théorie des Modules (Algèbre) Set theory Modules (Algebra) Rings (Algebra) Modultheorie Ringtheorie
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volume_link	(DE-604)BV000001885
work_keys_str_mv	AT daunsjohn classesofmodules AT zhouyiqiang classesofmodules

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