Homology of local rings:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Kingston, Ontario
Queen's University
1969
|
| Schriftenreihe: | Queen's Papers in Pure and Applied Mathematics
20 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 192 Seiten |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV005814853 | ||
| 003 | DE-604 | ||
| 005 | 20200512 | ||
| 007 | t | ||
| 008 | 921030s1969 |||| 00||| eng d | ||
| 035 | |a (OCoLC)138875 | ||
| 035 | |a (DE-599)BVBBV005814853 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-355 |a DE-91G |a DE-19 |a DE-29T |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 512/.4 | |
| 084 | |a SI 380 |0 (DE-625)143137: |2 rvk | ||
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 100 | 1 | |a Gulliksen, Tor H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Homology of local rings |c Tor H. Gulliksen and Gerson Levin |
| 264 | 1 | |a Kingston, Ontario |b Queen's University |c 1969 | |
| 300 | |a X, 192 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Queen's Papers in Pure and Applied Mathematics |v 20 | |
| 650 | 4 | |a Anneaux (Algèbre) | |
| 650 | 7 | |a Commutatieve ringen |2 gtt | |
| 650 | 4 | |a Homologie | |
| 650 | 7 | |a Homologie |2 gtt | |
| 650 | 4 | |a Homology theory | |
| 650 | 4 | |a Rings (Algebra) | |
| 650 | 0 | 7 | |a Homologie |0 (DE-588)4141951-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stellenring |0 (DE-588)4183087-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Stellenring |0 (DE-588)4183087-8 |D s |
| 689 | 0 | 1 | |a Homologie |0 (DE-588)4141951-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Levin, Gerson |e Verfasser |4 aut | |
| 830 | 0 | |a Queen's Papers in Pure and Applied Mathematics |v 20 |w (DE-604)BV001889470 |9 20 | |
| 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=003635904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003635904 | ||
Datensatz im Suchindex
| _version_ | 1804120000993165312 |
|---|---|
| adam_text | TABLE OF CONTENTS
PREFACE i
INTRODUCTION iv
NOTATIONS AND CONVENTIONS x
CHAPTER ONE: DIFFERENTIAL CRADED ALCEbRAS 1
§1. Basic definitions. Augmented R algebras. 1
§2. Construction of R algebra resolutions.
The process of adjoining variables to
kill cycles. 8
§3. Derivations and the exact sequence
associated with the adjunction of a
variable. 16
§4. The Koszul complex, R sequences, Co
dimension and regular rings. 2b
§5. Local complete intersections and the
Tate Zariski resolution. 40
§6. Minimal R algebra resolutions. 44
§7. Divided power algebras. 51
§h. Augmented (R) algebras. 61
§9. Acyclic closure of augmented (R) algebras. 72
CHAPTER TWO: THE STRUCTURE AND DUALITY OF
TorR(k,k) AND ExtR(k,k) . 87
§1. Algebras, co algebras, and Hopf algebras. 87
§2. TorR(k,k) as a Hopf algebra. 96
§3. The Duality of ExtR(k,k) and TorR(k,k) 101
§4. Examples. 108
CHAPTER TilREE: THE POINCARE SERIES OF A LOCAL RINC 116
§1. The Poincare series P(R) and the
deviations r (R) . 116
§2. V (K,R) as homology groups. 121
§3« Applications to the deviations e (R) . 133
§4» Behaviour of the Poincare series upon
reduction of the ring modulo a principal
ideal. 143
§S. Characterizations of local complete
intersections. 149
CHAPTER FOUR: ON THE RATIONALITY OF THE POINCARE
SERIES. 156
§1. Eagon s resolution. 156
§2. Massey operations and a theorem of
Colod. 162
§3. Applications of Golod s theorem. 170
§4. An exact couple. 175
BIBLIOGRAPHY 189
|
| any_adam_object | 1 |
| author | Gulliksen, Tor H. Levin, Gerson |
| author_facet | Gulliksen, Tor H. Levin, Gerson |
| author_role | aut aut |
| author_sort | Gulliksen, Tor H. |
| author_variant | t h g th thg g l gl |
| building | Verbundindex |
| bvnumber | BV005814853 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 380 SK 230 |
| ctrlnum | (OCoLC)138875 (DE-599)BVBBV005814853 |
| 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 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01765nam a2200481 cb4500</leader><controlfield tag="001">BV005814853</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200512 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">921030s1969 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)138875</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005814853</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</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-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.4</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 380</subfield><subfield code="0">(DE-625)143137:</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="100" ind1="1" ind2=" "><subfield code="a">Gulliksen, Tor H.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Homology of local rings</subfield><subfield code="c">Tor H. Gulliksen and Gerson Levin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Kingston, Ontario</subfield><subfield code="b">Queen's University</subfield><subfield code="c">1969</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 192 Seiten</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">Queen's Papers in Pure and Applied Mathematics</subfield><subfield code="v">20</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Anneaux (Algèbre)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Commutatieve ringen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homologie</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homologie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homology theory</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">Homologie</subfield><subfield code="0">(DE-588)4141951-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stellenring</subfield><subfield code="0">(DE-588)4183087-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Stellenring</subfield><subfield code="0">(DE-588)4183087-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Homologie</subfield><subfield code="0">(DE-588)4141951-0</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">Levin, Gerson</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Queen's Papers in Pure and Applied Mathematics</subfield><subfield code="v">20</subfield><subfield code="w">(DE-604)BV001889470</subfield><subfield code="9">20</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=003635904&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">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003635904</subfield></datafield></record></collection> |
| id | DE-604.BV005814853 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:35:08Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003635904 |
| oclc_num | 138875 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-29T DE-83 DE-188 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-29T DE-83 DE-188 |
| physical | X, 192 Seiten |
| psigel | TUB-nveb |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Queen's University |
| record_format | marc |
| series | Queen's Papers in Pure and Applied Mathematics |
| series2 | Queen's Papers in Pure and Applied Mathematics |
| spelling | Gulliksen, Tor H. Verfasser aut Homology of local rings Tor H. Gulliksen and Gerson Levin Kingston, Ontario Queen's University 1969 X, 192 Seiten txt rdacontent n rdamedia nc rdacarrier Queen's Papers in Pure and Applied Mathematics 20 Anneaux (Algèbre) Commutatieve ringen gtt Homologie Homologie gtt Homology theory Rings (Algebra) Homologie (DE-588)4141951-0 gnd rswk-swf Stellenring (DE-588)4183087-8 gnd rswk-swf Stellenring (DE-588)4183087-8 s Homologie (DE-588)4141951-0 s DE-604 Levin, Gerson Verfasser aut Queen's Papers in Pure and Applied Mathematics 20 (DE-604)BV001889470 20 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003635904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gulliksen, Tor H. Levin, Gerson Homology of local rings Queen's Papers in Pure and Applied Mathematics Anneaux (Algèbre) Commutatieve ringen gtt Homologie Homologie gtt Homology theory Rings (Algebra) Homologie (DE-588)4141951-0 gnd Stellenring (DE-588)4183087-8 gnd |
| subject_GND | (DE-588)4141951-0 (DE-588)4183087-8 |
| title | Homology of local rings |
| title_auth | Homology of local rings |
| title_exact_search | Homology of local rings |
| title_full | Homology of local rings Tor H. Gulliksen and Gerson Levin |
| title_fullStr | Homology of local rings Tor H. Gulliksen and Gerson Levin |
| title_full_unstemmed | Homology of local rings Tor H. Gulliksen and Gerson Levin |
| title_short | Homology of local rings |
| title_sort | homology of local rings |
| topic | Anneaux (Algèbre) Commutatieve ringen gtt Homologie Homologie gtt Homology theory Rings (Algebra) Homologie (DE-588)4141951-0 gnd Stellenring (DE-588)4183087-8 gnd |
| topic_facet | Anneaux (Algèbre) Commutatieve ringen Homologie Homology theory Rings (Algebra) Stellenring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003635904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
| work_keys_str_mv | AT gulliksentorh homologyoflocalrings AT levingerson homologyoflocalrings |