Abelian Groups
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Springer
[2015]
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| Schriftenreihe: | Springer monographs in mathematics
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| Schlagworte: | |
| Online-Zugang: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
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| 650 | 4 | |a Commutative rings | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Group Theory and Generalizations | |
| 650 | 4 | |a Commutative Rings and Algebras | |
| 650 | 4 | |a Category Theory, Homological Algebra | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2165908 |
|---|---|
| DE-BY-UBM_katkey | 5261626 |
| _version_ | 1823055844376313856 |
| 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.
|
| any_adam_object | 1 |
| author | Fuchs, László 1924- |
| author_GND | (DE-588)172083257 |
| author_facet | Fuchs, László 1924- |
| author_role | aut |
| author_sort | Fuchs, László 1924- |
| author_variant | l f lf |
| building | Verbundindex |
| bvnumber | BV043309636 |
| classification_rvk | SK 260 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)934183909 (DE-599)BVBBV043309636 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-19422-6 |
| format | Electronic eBook |
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| id | DE-604.BV043309636 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9783319194226 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028730325 |
| oclc_num | 934183909 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-20 DE-739 DE-634 DE-703 DE-861 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-20 DE-739 DE-634 DE-703 DE-861 DE-83 |
| physical | 1 Online Ressource (xxi, 747 Seiten) |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| 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 |