Extending modules:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman
1994
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
313 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 224 S. |
| ISBN: | 0582253829 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010101621 | ||
| 003 | DE-604 | ||
| 005 | 19970724 | ||
| 007 | t | ||
| 008 | 950316s1994 |||| 00||| eng d | ||
| 020 | |a 0582253829 |9 0-582-25382-9 | ||
| 035 | |a (OCoLC)31044721 | ||
| 035 | |a (DE-599)BVBBV010101621 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-739 |a DE-11 | ||
| 050 | 0 | |a QA247 | |
| 082 | 0 | |a 512/.4 |2 20 | |
| 084 | |a SI 880 |0 (DE-625)143209: |2 rvk | ||
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 245 | 1 | 0 | |a Extending modules |c Nguyen Viet Dung ... |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman |c 1994 | |
| 300 | |a XVII, 224 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 313 | |
| 650 | 7 | |a Modulen (wiskunde) |2 gtt | |
| 650 | 7 | |a Modules injectifs (Algèbre) |2 ram | |
| 650 | 7 | |a module injectif |2 inriac | |
| 650 | 7 | |a module |2 inriac | |
| 650 | 4 | |a Injective modules (Algebra) | |
| 650 | 0 | 7 | |a Injektiver Modul |0 (DE-588)4161753-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Injektiver Modul |0 (DE-588)4161753-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Nguyen, Viet Dung |e Sonstige |4 oth | |
| 830 | 0 | |a Pitman research notes in mathematics series |v 313 |w (DE-604)BV000022845 |9 313 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006706008&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006706008 | ||
Datensatz im Suchindex
| _version_ | 1804124491644665856 |
|---|---|
| adam_text | Contents
Preface xi
Introduction xiii
Acknowledgements xvi
Symbols xvii
1 Basic Notions 1
1 Preliminaries 1
2 Injectivity and noetherian modules 8
3 Projectivity and artinian modules 20
2 Singular and uniform modules 29
4 Singular modules 29
5 Uniform dimension 37
6 Krull dimension 49
3 The extending property 55
7 Extending modules 55
8 Decomposition of extending modules with J. Clark and N. Vanaja . . 66
9 Decompositions of cyclic subfactors 73
10 Self hereditary extending modules 83
4 Related Modules Extending 92
11 ^ extending modules 92
12 Non singular left extending rings 105
13 All M subgenerated modules extending with J. Clark and N. Vanaja 119
14 Completely 7r injective modules 129
ix
X
5 Injectivity of Certain Modules 136
15 Co semisimple modules 136
16 Generalized co semisimple modules 147
17 Singular modules are injective 160
6 Chain Conditions 169
18 Extending modules with chain conditions 169
19 Rings with many direct summands 184
20 Classes of rings with chain conditions 196
Bibliography 207
Index 223
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV010101621 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 230 |
| ctrlnum | (OCoLC)31044721 (DE-599)BVBBV010101621 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01609nam a2200445 cb4500</leader><controlfield tag="001">BV010101621</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19970724 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950316s1994 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0582253829</subfield><subfield code="9">0-582-25382-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)31044721</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010101621</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA247</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.4</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 880</subfield><subfield code="0">(DE-625)143209:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Extending modules</subfield><subfield code="c">Nguyen Viet Dung ...</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Harlow, Essex</subfield><subfield code="b">Longman</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVII, 224 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Pitman research notes in mathematics series</subfield><subfield code="v">313</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Modulen (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Modules injectifs (Algèbre)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">module injectif</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">module</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Injective modules (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Injektiver Modul</subfield><subfield code="0">(DE-588)4161753-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Injektiver Modul</subfield><subfield code="0">(DE-588)4161753-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Nguyen, Viet Dung</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pitman research notes in mathematics series</subfield><subfield code="v">313</subfield><subfield code="w">(DE-604)BV000022845</subfield><subfield code="9">313</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006706008&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006706008</subfield></datafield></record></collection> |
| id | DE-604.BV010101621 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:46:31Z |
| institution | BVB |
| isbn | 0582253829 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006706008 |
| oclc_num | 31044721 |
| open_access_boolean | |
| owner | DE-12 DE-739 DE-11 |
| owner_facet | DE-12 DE-739 DE-11 |
| physical | XVII, 224 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Extending modules Nguyen Viet Dung ... 1. publ. Harlow, Essex Longman 1994 XVII, 224 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 313 Modulen (wiskunde) gtt Modules injectifs (Algèbre) ram module injectif inriac module inriac Injective modules (Algebra) Injektiver Modul (DE-588)4161753-8 gnd rswk-swf Injektiver Modul (DE-588)4161753-8 s DE-604 Nguyen, Viet Dung Sonstige oth Pitman research notes in mathematics series 313 (DE-604)BV000022845 313 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006706008&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Extending modules Pitman research notes in mathematics series Modulen (wiskunde) gtt Modules injectifs (Algèbre) ram module injectif inriac module inriac Injective modules (Algebra) Injektiver Modul (DE-588)4161753-8 gnd |
| subject_GND | (DE-588)4161753-8 |
| title | Extending modules |
| title_auth | Extending modules |
| title_exact_search | Extending modules |
| title_full | Extending modules Nguyen Viet Dung ... |
| title_fullStr | Extending modules Nguyen Viet Dung ... |
| title_full_unstemmed | Extending modules Nguyen Viet Dung ... |
| title_short | Extending modules |
| title_sort | extending modules |
| topic | Modulen (wiskunde) gtt Modules injectifs (Algèbre) ram module injectif inriac module inriac Injective modules (Algebra) Injektiver Modul (DE-588)4161753-8 gnd |
| topic_facet | Modulen (wiskunde) Modules injectifs (Algèbre) module injectif module Injective modules (Algebra) Injektiver Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006706008&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT nguyenvietdung extendingmodules |