Topics in torsion theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Wiley-VCH
1998
|
| Edition: | 1. ed. |
| Series: | Mathematical research
103 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 160 S. |
| ISBN: | 3527401318 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | TABLE OF CONTENTS
Preface 5
Introduction 9
§1. Preliminaries on Torsion Theory 11
§2. The Jacobson Radical, Simple Modules and Chain Conditions
Relative to Torsion Theory. Nakayama s Lemma 29
2.1 Simple Modules and Maximal Submodules Relative to a
Torsion Theory 29
2.2 The Jacobson Radical and Radical Free Modules Relative
to a Torsion Theory 33
2.3 Noetherian Modules Relative to a Torsion Theory 39
2.4 Artinian Modules Relative to a Torsion Theory 49
§3. Composition Series Relative to Torsion Theory.
The Generalized Hopkins Levitzki Theorem 55
§4. Injective and Projective Concepts and Torsion Theory. The
Generalized Baer and Fuchs Conditions. Relatively Flat Modules . . 65
4.1 (Quasi )Injective Modules Relative to a Torsion Theory 65
4.2 (Quasi )Projective Modules Relative to a Torsion Theory .... 81
4.3 Flat Modules Relative to a Torsion Theory 88
§5. Covers and Hulls 101
5.1 (Quasi )Injective Hulls Relative to a Torsion Theory 102
5.2 (Quasi )Projective Covers Relative to a Torsion Theory 113
5.3 Torsionfree Covers 126
§6. Classical Properties of Rings Relative to a Torsion Theory 135
6.1 (Semi)Primitive, Simple and (Semi)Prime Rings Relative
to a Torsion Theory 135
6.2 Semisimple Rings Relative to a Torsion Theory 143
6.3 Primitive Rings and Density Relative to a Torsion Theory .... 148
References 157
Index 159
|
| any_adam_object | 1 |
| author | Bland, Paul E. |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| edition | 1. ed. |
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| id | DE-604.BV011802158 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:16:00Z |
| institution | BVB |
| isbn | 3527401318 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007968617 |
| oclc_num | 39064754 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-634 DE-83 DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-634 DE-83 DE-11 |
| physical | 160 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Wiley-VCH |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Bland, Paul E. Verfasser (DE-588)118175424 aut Topics in torsion theory Paul E. Bland 1. ed. Berlin [u.a.] Wiley-VCH 1998 160 S. txt rdacontent n rdamedia nc rdacarrier Mathematical research 103 Torsion theory (Algebra) Torsionstheorie (DE-588)4451084-6 gnd rswk-swf Torsionstheorie (DE-588)4451084-6 s DE-604 Mathematical research 103 (DE-604)BV000008585 103 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007968617&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bland, Paul E. Topics in torsion theory Mathematical research Torsion theory (Algebra) Torsionstheorie (DE-588)4451084-6 gnd |
| subject_GND | (DE-588)4451084-6 |
| title | Topics in torsion theory |
| title_auth | Topics in torsion theory |
| title_exact_search | Topics in torsion theory |
| title_full | Topics in torsion theory Paul E. Bland |
| title_fullStr | Topics in torsion theory Paul E. Bland |
| title_full_unstemmed | Topics in torsion theory Paul E. Bland |
| title_short | Topics in torsion theory |
| title_sort | topics in torsion theory |
| topic | Torsion theory (Algebra) Torsionstheorie (DE-588)4451084-6 gnd |
| topic_facet | Torsion theory (Algebra) Torsionstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007968617&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008585 |
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