Verfügbarkeit: Module theory, extending modules and generalizations

Module theory, extending modules and generalizations:

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Bibliographische Detailangaben
Hauptverfasser:	Tercan, Adnan (VerfasserIn), Yücel, Canan C. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	[Basel] Birkhäuser [2016]
Schriftenreihe:	Frontiers in mathematics
Schlagworte:	Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring > Mathematik Modultheorie
Online-Zugang:	BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource (XX, 369 Seiten)
ISBN:	9783034809528
ISSN:	1660-8046
DOI:	10.1007/978-3-0348-0952-8

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Datensatz im Suchindex

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adam_text	MODULE THEORY, EXTENDING MODULES AND GENERALIZATIONS / TERCAN, ADNAN : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE INTRODUCTION LIST OF SYMBOLS INTRODUCING MODULES TYPES OF RELATIVE INJECTIVITY EXTENDING PROPERTY AND RELATED CONCEPTS INNER GENERALIZATIONS OF EXTENDING MODULES OUTER GENERALIZATIONS OF EXTENDING MODULES DUAL GOLDIE AND EC-COMPLEMENT VERSIONS OF THE EXTENDING PROPERTY OPEN PROBLEMS AND QUESTIONS APPENDIX REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. MODULE THEORY, EXTENDING MODULES AND GENERALIZATIONS / TERCAN, ADNAN : 2016 ABSTRACT / INHALTSTEXT THE MAIN FOCUS OF THIS MONOGRAPH IS TO OFFER A COMPREHENSIVE PRESENTATION OF KNOWN AND NEW RESULTS ON VARIOUS GENERALIZATIONS OF CS-MODULES AND CS-RINGS. EXTENDING (OR CS) MODULES ARE GENERALIZATIONS OF INJECTIVE (AND ALSO SEMISIMPLE OR UNIFORM) MODULES. WHILE THE THEORY OF CS-MODULES IS WELL DOCUMENTED IN MONOGRAPHS AND TEXTBOOKS, RESULTS ON GENERALIZED FORMS OF THE CS PROPERTY AS WELL AS DUAL NOTIONS ARE FAR LESS PRESENT IN THE LITERATURE. WITH THEIR WORK THE AUTHORS PROVIDE A SOLID BACKGROUND TO MODULE THEORY, ACCESSIBLE TO ANYONE FAMILIAR WITH BASIC ABSTRACT ALGEBRA. THE FOCUS OF THE BOOK IS ON DIRECT SUMS OF CS-MODULES AND CLASSES OF MODULES RELATED TO CS-MODULES, SUCH AS RELATIVE (INJECTIVE) EJECTIVE MODULES, (QUASI) CONTINUOUS MODULES, AND LIFTING MODULES. IN PARTICULAR, MATRIX CS-RINGS ARE STUDIED AND CLEAR PROOFS OF FUNDAMENTAL DECOMPOSITION RESULTS ON CS-MODULES OVER COMMUTATIVE DOMAINS ARE GIVEN, THUS COMPLEMENTING EXISTING MONOGRAPHS IN THIS AREA. OPEN PROBLEMS ROUND OUT THE WORK AND ESTABLISH THE BASIS FOR FURTHER DEVELOPMENTS IN THE FIELD. THE MAIN TEXT IS COMPLEMENTED BY A WEALTH OF EXAMPLES AND EXERCISES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Tercan, Adnan Verfasser aut Module theory, extending modules and generalizations Adnan Tercan, Canan C. Yücel [Basel] Birkhäuser [2016] © 2016 1 Online-Ressource (XX, 369 Seiten) txt rdacontent c rdamedia cr rdacarrier Frontiers in mathematics 1660-8046 Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Modultheorie (DE-588)4170336-4 gnd rswk-swf Modultheorie (DE-588)4170336-4 s Ring Mathematik (DE-588)4128084-2 s DE-604 Yücel, Canan C. Verfasser aut Erscheint auch als Druckausgabe 978-3-0348-0950-4 https://doi.org/10.1007/978-3-0348-0952-8 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=028993856&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=028993856&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Tercan, Adnan Yücel, Canan C. Module theory, extending modules and generalizations Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring Mathematik (DE-588)4128084-2 gnd Modultheorie (DE-588)4170336-4 gnd
subject_GND	(DE-588)4128084-2 (DE-588)4170336-4
title	Module theory, extending modules and generalizations
title_auth	Module theory, extending modules and generalizations
title_exact_search	Module theory, extending modules and generalizations
title_full	Module theory, extending modules and generalizations Adnan Tercan, Canan C. Yücel
title_fullStr	Module theory, extending modules and generalizations Adnan Tercan, Canan C. Yücel
title_full_unstemmed	Module theory, extending modules and generalizations Adnan Tercan, Canan C. Yücel
title_short	Module theory, extending modules and generalizations
title_sort	module theory extending modules and generalizations
topic	Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring Mathematik (DE-588)4128084-2 gnd Modultheorie (DE-588)4170336-4 gnd
topic_facet	Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring Mathematik Modultheorie
url	https://doi.org/10.1007/978-3-0348-0952-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028993856&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=028993856&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT tercanadnan moduletheoryextendingmodulesandgeneralizations AT yucelcananc moduletheoryextendingmodulesandgeneralizations

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