Rings and modules:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Interscience Publ.
1969
|
| Series: | Interscience tracts in pure and applied mathematics
24 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 162 S. |
| ISBN: | 0470718056 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV005693079 | ||
| 003 | DE-604 | ||
| 005 | 20110406 | ||
| 007 | t | ||
| 008 | 921028s1969 |||| 00||| eng d | ||
| 020 | |a 0470718056 |9 0-470-71805-6 | ||
| 035 | |a (OCoLC)2734 | ||
| 035 | |a (DE-599)BVBBV005693079 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-355 |a DE-824 |a DE-20 |a DE-19 |a DE-91 |a DE-29T |a DE-83 |a DE-188 |a DE-11 | ||
| 050 | 0 | |a QA247 | |
| 082 | 0 | |a 512/.815 | |
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a 13Cxx |2 msc | ||
| 100 | 1 | |a Ribenboim, Paulo |d 1928- |e Verfasser |0 (DE-588)117719404 |4 aut | |
| 245 | 1 | 0 | |a Rings and modules |c Paulo Ribenboim |
| 264 | 1 | |a New York [u.a.] |b Interscience Publ. |c 1969 | |
| 300 | |a VII, 162 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Interscience tracts in pure and applied mathematics |v 24 | |
| 650 | 4 | |a Anneaux (Algèbre) | |
| 650 | 4 | |a Modules (Algèbre) | |
| 650 | 4 | |a Modules (Algebra) | |
| 650 | 4 | |a Rings (Algebra) | |
| 650 | 0 | 7 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modul |0 (DE-588)4129770-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modultheorie |0 (DE-588)4170336-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Modul |0 (DE-588)4129770-2 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Modultheorie |0 (DE-588)4170336-4 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a Interscience tracts in pure and applied mathematics |v 24 |w (DE-604)BV000892811 |9 24 | |
| 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=003555752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q HUB-ZB011201104 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003555752 | ||
Record in the Search Index
| _version_ | 1804119880323039232 |
|---|---|
| adam_text | Contents
I. Modules 1
1. Generalities ........ 1
2. Free Modules ........ 9
3. Cartesian Products and Direct Sums of Modules . . 11
4. Split Exact Sequences ....... 15
5. The Group of Homomorphisms ..... 16
6. Projective Modules ....... 19
7. Injective Modules 24
II. Structure of Modules and Rings ..... 33
1. Length of a Module ....... 33
2. Artinian and Noetherian Modules .... 39
3. Artinian and Noetherian Rings ..... 44
4. Simple and Semisimple Modules ..... 47
5. Simple and Semisimple Rings ..... 50
6. Radicals of Modules and Rings ..... 58
7. Centralizer and Double Centralizer .... 73
III. Special Rings and Modules 81
1. Finitely Generated Modules over Principal Ideal Domains 81
2. Rings of Linear Transformations of Vector Spaces . 106
3. Von Neumann Regular Rings 129
4. The Group Ring 134
Bibliography 157
Name Index 159
Subject Index 161
vii
|
| any_adam_object | 1 |
| author | Ribenboim, Paulo 1928- |
| author_GND | (DE-588)117719404 |
| author_facet | Ribenboim, Paulo 1928- |
| author_role | aut |
| author_sort | Ribenboim, Paulo 1928- |
| author_variant | p r pr |
| building | Verbundindex |
| bvnumber | BV005693079 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)2734 (DE-599)BVBBV005693079 |
| dewey-full | 512/.815 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.815 |
| dewey-search | 512/.815 |
| dewey-sort | 3512 3815 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01882nam a2200505 cb4500</leader><controlfield tag="001">BV005693079</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20110406 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">921028s1969 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0470718056</subfield><subfield code="9">0-470-71805-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)2734</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005693079</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-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</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/.815</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="084" ind1=" " ind2=" "><subfield code="a">13Cxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ribenboim, Paulo</subfield><subfield code="d">1928-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)117719404</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Rings and modules</subfield><subfield code="c">Paulo Ribenboim</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Interscience Publ.</subfield><subfield code="c">1969</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 162 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">Interscience tracts in pure and applied mathematics</subfield><subfield code="v">24</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Anneaux (Algèbre)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modules (Algèbre)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modules (Algebra)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rings (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ring</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4128084-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modul</subfield><subfield code="0">(DE-588)4129770-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modultheorie</subfield><subfield code="0">(DE-588)4170336-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ring</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4128084-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Modul</subfield><subfield code="0">(DE-588)4129770-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Modultheorie</subfield><subfield code="0">(DE-588)4170336-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Interscience tracts in pure and applied mathematics</subfield><subfield code="v">24</subfield><subfield code="w">(DE-604)BV000892811</subfield><subfield code="9">24</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=003555752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">HUB-ZB011201104</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003555752</subfield></datafield></record></collection> |
| id | DE-604.BV005693079 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:13Z |
| institution | BVB |
| isbn | 0470718056 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003555752 |
| oclc_num | 2734 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-824 DE-20 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-29T DE-83 DE-188 DE-11 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-824 DE-20 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-29T DE-83 DE-188 DE-11 |
| physical | VII, 162 S. |
| psigel | HUB-ZB011201104 |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Interscience Publ. |
| record_format | marc |
| series | Interscience tracts in pure and applied mathematics |
| series2 | Interscience tracts in pure and applied mathematics |
| spelling | Ribenboim, Paulo 1928- Verfasser (DE-588)117719404 aut Rings and modules Paulo Ribenboim New York [u.a.] Interscience Publ. 1969 VII, 162 S. txt rdacontent n rdamedia nc rdacarrier Interscience tracts in pure and applied mathematics 24 Anneaux (Algèbre) Modules (Algèbre) Modules (Algebra) Rings (Algebra) Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Modultheorie (DE-588)4170336-4 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 s DE-604 Modul (DE-588)4129770-2 s Modultheorie (DE-588)4170336-4 s Interscience tracts in pure and applied mathematics 24 (DE-604)BV000892811 24 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003555752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ribenboim, Paulo 1928- Rings and modules Interscience tracts in pure and applied mathematics Anneaux (Algèbre) Modules (Algèbre) Modules (Algebra) Rings (Algebra) Ring Mathematik (DE-588)4128084-2 gnd Modul (DE-588)4129770-2 gnd Modultheorie (DE-588)4170336-4 gnd |
| subject_GND | (DE-588)4128084-2 (DE-588)4129770-2 (DE-588)4170336-4 |
| title | Rings and modules |
| title_auth | Rings and modules |
| title_exact_search | Rings and modules |
| title_full | Rings and modules Paulo Ribenboim |
| title_fullStr | Rings and modules Paulo Ribenboim |
| title_full_unstemmed | Rings and modules Paulo Ribenboim |
| title_short | Rings and modules |
| title_sort | rings and modules |
| topic | Anneaux (Algèbre) Modules (Algèbre) Modules (Algebra) Rings (Algebra) Ring Mathematik (DE-588)4128084-2 gnd Modul (DE-588)4129770-2 gnd Modultheorie (DE-588)4170336-4 gnd |
| topic_facet | Anneaux (Algèbre) Modules (Algèbre) Modules (Algebra) Rings (Algebra) Ring Mathematik Modul Modultheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003555752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000892811 |
| work_keys_str_mv | AT ribenboimpaulo ringsandmodules |