Verfügbarkeit: Abelian Groups

Abelian Groups:

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Fuchs, László 1924- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cham Springer [2015]
Schriftenreihe:	Springer monographs in mathematics
Schlagworte:	Mathematics Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Category Theory, Homological Algebra Mathematik Abelsche Gruppe
Online-Zugang:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online Ressource (xxi, 747 Seiten)
ISBN:	9783319194226
ISSN:	1439-7382
DOI:	10.1007/978-3-319-19422-6

Internformat

MARC


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Datensatz im Suchindex

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adam_text	ABELIAN GROUPS / FUCHS, LASZLO : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS FUNDAMENTALS DIRECT SUMS DIRECT SUMS OF CYCLIC GROUPS DIVISIBILITY AND INJECTIVITY PURITY AND BASIC SUBGROUPS ALGEBRAICALLY COMPACT GROUPS HOMOMORPHISM GROUPS TENSOR AND TORSION PRODUCTS GROUPS OF EXTENSIONS AND COTORSION GROUPS TORSION GROUPS P-GROUPS WITH ELEMENTS OF INFINITE HEIGHT TORSION-FREE GROUPS TORSION-FREE GROUPS OF INFINITE RANK BUTLER GROUPS MIXED GROUPS ENDOMORPHISM RINGS AUTOMORPHISM GROUPS GROUPS IN RINGS AND IN FIELDS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ABELIAN GROUPS / FUCHS, LASZLO : 2015 ABSTRACT / INHALTSTEXT WRITTEN BY ONE OF THE SUBJECT’S FOREMOST EXPERTS, THIS BOOK FOCUSES ON THE CENTRAL DEVELOPMENTS AND MODERN METHODS OF THE ADVANCED THEORY OF ABELIAN GROUPS, WHILE REMAINING ACCESSIBLE, AS AN INTRODUCTION AND REFERENCE, TO THE NON-SPECIALIST. IT PROVIDES A COHERENT SOURCE FOR RESULTS SCATTERED THROUGHOUT THE RESEARCH LITERATURE WITH LOTS OF NEW PROOFS. THE PRESENTATION HIGHLIGHTS MAJOR TRENDS THAT HAVE RADICALLY CHANGED THE MODERN CHARACTER OF THE SUBJECT, IN PARTICULAR, THE USE OF HOMOLOGICAL METHODS IN THE STRUCTURE THEORY OF VARIOUS CLASSES OF ABELIAN GROUPS, AND THE USE OF ADVANCED SET-THEORETICAL METHODS IN THE STUDY OF UNDECIDABILITY PROBLEMS. THE TREATMENT OF THE LATTER TREND INCLUDES SHELAH’S SEMINAL WORK ON THE UNDECIDABILITY IN ZFC OF WHITEHEAD’S PROBLEM; WHILE THE TREATMENT OF THE FORMER TREND INCLUDES AN EXTENSIVE (BUT NON-EXHAUSTIVE) STUDY OF P-GROUPS, TORSION-FREE GROUPS, MIXED GROUPS, AND IMPORTANT CLASSES OF GROUPS ARISING FROM RING THEORY. TO PREPARE THE READER TO TACKLE THESE TOPICS, THE BOOK REVIEWS THE FUNDAMENTALS OF ABELIAN GROUP THEORY AND PROVIDES SOME BACKGROUND MATERIAL FROM CATEGORY THEORY, SET THEORY, TOPOLOGY, AND HOMOLOGICAL ALGEBRA. AN ABUNDANCE OF EXERCISES ARE INCLUDED TO TEST THE READER’S COMPREHENSION, AND TO EXPLORE NOTEWORTHY EXTENSIONS AND RELATED SIDELINES OF THE MAIN TOPICS. A LIST OF OPEN PROBLEMS AND QUESTIONS, IN EACH CHAPTER, INVITE THE READER TO TAKE AN ACTIVE PART IN THE SUBJECT’S FURTHER DEVELOPMENT DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Fuchs, László 1924- Verfasser (DE-588)172083257 aut Abelian Groups László Fuchs Cham Springer [2015] © 2015 1 Online Ressource (xxi, 747 Seiten) txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Category Theory, Homological Algebra Mathematik Abelsche Gruppe (DE-588)4140988-7 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-19421-9 https://doi.org/10.1007/978-3-319-19422-6 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730325&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730325&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Fuchs, László 1924- Abelian Groups Mathematics Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Category Theory, Homological Algebra Mathematik Abelsche Gruppe (DE-588)4140988-7 gnd
subject_GND	(DE-588)4140988-7
title	Abelian Groups
title_auth	Abelian Groups
title_exact_search	Abelian Groups
title_full	Abelian Groups László Fuchs
title_fullStr	Abelian Groups László Fuchs
title_full_unstemmed	Abelian Groups László Fuchs
title_short	Abelian Groups
title_sort	abelian groups
topic	Mathematics Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Category Theory, Homological Algebra Mathematik Abelsche Gruppe (DE-588)4140988-7 gnd
topic_facet	Mathematics Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Category Theory, Homological Algebra Mathematik Abelsche Gruppe
url	https://doi.org/10.1007/978-3-319-19422-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730325&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730325&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT fuchslaszlo abeliangroups

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