Algebraische Theorie der Differentiale:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Saarbrücken
1994
|
| Series: | Universität <Saarbrücken>: Annales Universitatis Saraviensis / Series mathematicae
5,2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | S. 103 - 244 Ill. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV009806931 | ||
| 003 | DE-604 | ||
| 007 | t | ||
| 008 | 940916s1994 a||| |||| 00||| ger d | ||
| 035 | |a (OCoLC)32060570 | ||
| 035 | |a (DE-599)BVBBV009806931 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 049 | |a DE-355 |a DE-12 |a DE-739 |a DE-29T |a DE-824 |a DE-210 |a DE-188 | ||
| 050 | 0 | |a QA247.4 | |
| 084 | |a SI 990 |0 (DE-625)143213: |2 rvk | ||
| 100 | 1 | |a Berger, Robert W. |d 1933- |e Verfasser |0 (DE-588)115611290 |4 aut | |
| 245 | 1 | 0 | |a Algebraische Theorie der Differentiale |c R. W. Berger |
| 264 | 1 | |a Saarbrücken |c 1994 | |
| 300 | |a S. 103 - 244 |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Universität <Saarbrücken>: Annales Universitatis Saraviensis / Series mathematicae |v 5,2 | |
| 650 | 4 | |a Differential algebra | |
| 650 | 0 | 7 | |a Differential |0 (DE-588)4149768-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Derivation |g Algebra |0 (DE-588)4134656-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialalgebra |0 (DE-588)4134657-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialalgebra |0 (DE-588)4134657-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Differential |0 (DE-588)4149768-5 |D s |
| 689 | 1 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Derivation |g Algebra |0 (DE-588)4134656-7 |D s |
| 689 | 2 | 1 | |a Differentialalgebra |0 (DE-588)4134657-9 |D s |
| 689 | 2 | |5 DE-188 | |
| 810 | 2 | |a Series mathematicae |t Universität <Saarbrücken>: Annales Universitatis Saraviensis |v 5,2 |w (DE-604)BV000021222 |9 5,2 | |
| 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=006490098&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006490098 | |
Record in the Search Index
| _version_ | 1811034360097275904 |
|---|---|
| adam_text |
Inhalt s Verzeichnis
1 Derivationen erster Ordnung 106
1.1 Grundlagen 106
Definitionen 106
Existenz der universellen Derivation 108
Zweiseitige Derivationen 109
Erste Konstruktion der universellen Derivation 110
Ausdehnung von Derivationen 110
Definitionen und Grundeigenschaften 111
Konstruktion der universellen Ausdehnung 115
Vergrößerung des Konstantenrings 120
1.2 Separable und inseparable Körpererweiterungen 122
Inseparabilität einer Körpererweiterung 122
Separable Körpererweiterungen 125
Beliebige Körpererweiterungen 129
Der Hauptsatz 133
Separabilität und lineare Disjunktheit 134
Separabilität bei nicht endlich erzeugten Körpererweiterungen . 138
Tensorielle Ausdehnung und Separabilität 140
1.3 Lokale Ringe 146
Tangentialkegel und Tangentialraum einer affinen Varietät . . . 146
Minimale Erzeugendenzahlen 153
Regularitätkriterien für geometrische lokale Ringe 160
1.4 Verzweigung und Differenten 176
Allgemeine Überlegungen zum Begriff „Verzweigung" . 176
Geometrische Interpretation 176
Idealtheoretische Beschreibung 176
Analoge Situation in der Zahlentheorie 177
Definition von "verzweigt" 177
Die Kählerschen Differenten 178
2 Höhere Derivationen 183
2.1 Grundlagen 183
Definitionen 183
104
DIFFERENTIALMODULN 105
Konstruktion der universellen Ausdehnung 191
Vergrößerung des Konstantenrings 195
2.2 Der Verkürzungsindex 196
2.3 Der Stabilitätsindex 203
A 211
A.l Der assoziierte graduierte Ring 211
A.2 Reguläre Folgen 213
A.3 Existenz eines Vertreterkörpers 218
A.4 Fittingsche Determinantenideale 223
A.5 Die Kraftsche Körperkette 235
Literaturverzeichnis 240
Index 243 |
| any_adam_object | 1 |
| author | Berger, Robert W. 1933- |
| author_GND | (DE-588)115611290 |
| author_facet | Berger, Robert W. 1933- |
| author_role | aut |
| author_sort | Berger, Robert W. 1933- |
| author_variant | r w b rw rwb |
| building | Verbundindex |
| bvnumber | BV009806931 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247.4 |
| callnumber-search | QA247.4 |
| callnumber-sort | QA 3247.4 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 990 |
| ctrlnum | (OCoLC)32060570 (DE-599)BVBBV009806931 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV009806931</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940916s1994 a||| |||| 00||| ger d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)32060570</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009806931</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">ger</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-210</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA247.4</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 990</subfield><subfield code="0">(DE-625)143213:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Berger, Robert W.</subfield><subfield code="d">1933-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115611290</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebraische Theorie der Differentiale</subfield><subfield code="c">R. W. Berger</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Saarbrücken</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">S. 103 - 244</subfield><subfield code="b">Ill.</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">Universität <Saarbrücken>: Annales Universitatis Saraviensis / Series mathematicae</subfield><subfield code="v">5,2</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential algebra</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differential</subfield><subfield code="0">(DE-588)4149768-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Derivation</subfield><subfield code="g">Algebra</subfield><subfield code="0">(DE-588)4134656-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialalgebra</subfield><subfield code="0">(DE-588)4134657-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialalgebra</subfield><subfield code="0">(DE-588)4134657-9</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">Differential</subfield><subfield code="0">(DE-588)4149768-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</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">Derivation</subfield><subfield code="g">Algebra</subfield><subfield code="0">(DE-588)4134656-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Differentialalgebra</subfield><subfield code="0">(DE-588)4134657-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-188</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Series mathematicae</subfield><subfield code="t">Universität <Saarbrücken>: Annales Universitatis Saraviensis</subfield><subfield code="v">5,2</subfield><subfield code="w">(DE-604)BV000021222</subfield><subfield code="9">5,2</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=006490098&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006490098</subfield></datafield></record></collection> |
| id | DE-604.BV009806931 |
| illustrated | Illustrated |
| indexdate | 2024-09-24T00:15:55Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006490098 |
| oclc_num | 32060570 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-12 DE-739 DE-29T DE-824 DE-210 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-12 DE-739 DE-29T DE-824 DE-210 DE-188 |
| physical | S. 103 - 244 Ill. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| record_format | marc |
| series2 | Universität <Saarbrücken>: Annales Universitatis Saraviensis / Series mathematicae |
| spelling | Berger, Robert W. 1933- Verfasser (DE-588)115611290 aut Algebraische Theorie der Differentiale R. W. Berger Saarbrücken 1994 S. 103 - 244 Ill. txt rdacontent n rdamedia nc rdacarrier Universität <Saarbrücken>: Annales Universitatis Saraviensis / Series mathematicae 5,2 Differential algebra Differential (DE-588)4149768-5 gnd rswk-swf Derivation Algebra (DE-588)4134656-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Differentialalgebra (DE-588)4134657-9 gnd rswk-swf Differentialalgebra (DE-588)4134657-9 s DE-604 Differential (DE-588)4149768-5 s Algebraische Geometrie (DE-588)4001161-6 s Derivation Algebra (DE-588)4134656-7 s DE-188 Series mathematicae Universität <Saarbrücken>: Annales Universitatis Saraviensis 5,2 (DE-604)BV000021222 5,2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006490098&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berger, Robert W. 1933- Algebraische Theorie der Differentiale Differential algebra Differential (DE-588)4149768-5 gnd Derivation Algebra (DE-588)4134656-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Differentialalgebra (DE-588)4134657-9 gnd |
| subject_GND | (DE-588)4149768-5 (DE-588)4134656-7 (DE-588)4001161-6 (DE-588)4134657-9 |
| title | Algebraische Theorie der Differentiale |
| title_auth | Algebraische Theorie der Differentiale |
| title_exact_search | Algebraische Theorie der Differentiale |
| title_full | Algebraische Theorie der Differentiale R. W. Berger |
| title_fullStr | Algebraische Theorie der Differentiale R. W. Berger |
| title_full_unstemmed | Algebraische Theorie der Differentiale R. W. Berger |
| title_short | Algebraische Theorie der Differentiale |
| title_sort | algebraische theorie der differentiale |
| topic | Differential algebra Differential (DE-588)4149768-5 gnd Derivation Algebra (DE-588)4134656-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Differentialalgebra (DE-588)4134657-9 gnd |
| topic_facet | Differential algebra Differential Derivation Algebra Algebraische Geometrie Differentialalgebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006490098&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000021222 |
| work_keys_str_mv | AT bergerrobertw algebraischetheoriederdifferentiale |