Lectures on topics in algebraic K-theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bombay
Tata Institute of Fundamental Research
1967
|
| Schriftenreihe: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
41 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II, 168, IV Bl. |
Internformat
MARC
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| 245 | 1 | 0 | |a Lectures on topics in algebraic K-theory |c by Hyman Bass. Notes by Amit Roy |
| 264 | 1 | |a Bombay |b Tata Institute of Fundamental Research |c 1967 | |
| 300 | |a II, 168, IV Bl. | ||
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| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |v 41 | |
| 650 | 4 | |a Algèbre linéaire | |
| 650 | 4 | |a Anneaux (Mathématiques) | |
| 650 | 4 | |a Corps algébriques | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a K-theory | |
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| 810 | 2 | |a Mathematics |t Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics |v 41 |w (DE-604)BV000015654 |9 41 | |
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Datensatz im Suchindex
| _version_ | 1804118677801402368 |
|---|---|
| adam_text | CONTENTS
Page
Introduction ¦ 1
Chapter I. The exact sequence of algebraic K theory
§ 1. Categories with product^ and their functors 7
i 2. Directed categories of abelian groups 17
§ 3, K C as a direct limit 21
8 4r The exact sequence 27
§ 5 The category P . 34
¦§ 6. The category FP 37
I 7. The category Pic 45
Chapter II. Categories of modules and their equivalences
§ 1. Categories of modules; faithfully protective 48
modules
§ 2. k categories and k functors 54
§ 3. Right continuous functors 57
§ 4. Equivalences of categories of modules 59
§ 5 Faithfully protective modules 65
§ 6. Wedderburn structure theory 70
§ 7. Autoequivalence classes; the Picard group 76
Chapter III. The Brauer group of a commutative ring,
§ 1. Separable algebras 82
§ 2. Assorted lemmas 87
§ 3. Local criteria for separability 100
§ 4. Azumaya algebras 104
8 5. Splitting rings 111
§ 6. The exact sequence 113
Chapter IV. The Brauer Wall group of graded azumaya
algebras
§ 1. Graded rings and modules 122
§ 2. Separable algebras 125
§ 3 The group of quadratic extensions 127
§ 4. Azumaya algebras 129
§ 5. Automorphisms 131
Chapter V. The structure of the Clifford functor
§ 1. Bilinear modules 134
§ 2. The hyperbolic functor 140
§ 3. The Clifford functor 146
§ 4. The orthogonal group and spinor norm 158
BIBLIOGRAPHY 166
|
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| author | Bass, Hyman 1932- |
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| classification_rvk | SI 890 |
| ctrlnum | (OCoLC)258380 (DE-599)BVBBV004545688 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:06Z |
| institution | BVB |
| language | English |
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| physical | II, 168, IV Bl. |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Tata Institute of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Bass, Hyman 1932- Verfasser (DE-588)123540097 aut Lectures on topics in algebraic K-theory by Hyman Bass. Notes by Amit Roy Bombay Tata Institute of Fundamental Research 1967 II, 168, IV Bl. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 41 Algèbre linéaire Anneaux (Mathématiques) Corps algébriques Categories (Mathematics) Group theory K-theory K-Theorie (DE-588)4033335-8 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 s DE-604 K-Theorie (DE-588)4033335-8 s Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 41 (DE-604)BV000015654 41 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797011&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bass, Hyman 1932- Lectures on topics in algebraic K-theory Algèbre linéaire Anneaux (Mathématiques) Corps algébriques Categories (Mathematics) Group theory K-theory K-Theorie (DE-588)4033335-8 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd |
| subject_GND | (DE-588)4033335-8 (DE-588)4141839-6 |
| title | Lectures on topics in algebraic K-theory |
| title_auth | Lectures on topics in algebraic K-theory |
| title_exact_search | Lectures on topics in algebraic K-theory |
| title_full | Lectures on topics in algebraic K-theory by Hyman Bass. Notes by Amit Roy |
| title_fullStr | Lectures on topics in algebraic K-theory by Hyman Bass. Notes by Amit Roy |
| title_full_unstemmed | Lectures on topics in algebraic K-theory by Hyman Bass. Notes by Amit Roy |
| title_short | Lectures on topics in algebraic K-theory |
| title_sort | lectures on topics in algebraic k theory |
| topic | Algèbre linéaire Anneaux (Mathématiques) Corps algébriques Categories (Mathematics) Group theory K-theory K-Theorie (DE-588)4033335-8 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd |
| topic_facet | Algèbre linéaire Anneaux (Mathématiques) Corps algébriques Categories (Mathematics) Group theory K-theory K-Theorie Algebraische K-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797011&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
| work_keys_str_mv | AT basshyman lecturesontopicsinalgebraicktheory |