Brauer groups and the cohomology of graded rings:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1988
|
| Series: | Pure and applied mathematics
121 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 261 S. |
| ISBN: | 0824779789 |
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MARC
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Record in the Search Index
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| adam_text | Contents
PREFACE iii
I. GENERALIZED CROSSED PRODUCTS 1
1.1 Graded Ring Theory 1
1.2 Generalized Crossed Products 3
II. SOME RESULTS ON COMMUTATIVE GRADED
RINGS 19
11.1 Arithmetically Graded Rings 19
11.2 Separability and Graded Galois Extensions 34
11.3 Graded Completion and Henselization 46
11.4 The Join of gr Henselian Rings 61
III. GRADED BRAUER GROUPS AND THE CROSSED
PRODUCT THEOREMS 79
III.l Graded Faithfully Flat Descent 79
ix
x Contents
111.2 Projective Graded Modules 83
111.3 Grothendieck and Picard Groups of Graded
Rings 90
111.4 Brauer Groups of Graded Rings 105
111.5 Graded Cohomology Groups and the Crossed
Product Theorem 119
IV. APPLICATION TO SOME SPECIAL CASES 133
IV.1 Brauer Groups of Graded Fields 133
IV.2 Brauer Groups of gr Local Rings 141
IV.3 The Brauer Group of a Graded Ring Modulo a
Graded Ideal 149
IV.4 Brauer Groups of Regular Graded Rings 151
V. ETALE COHOMOLOGY FOR GRADED RINGS 157
V.I Cohomology on the gr Etale Site 157
V.2 Hypercoverings and Verdier s Refinement
Theorem 166
V.3 Application to the Graded Brauer Group 172
V.4 A Graded Version of Gabber s Theorem 184
V.5 The Villamayor Zelinsky Approach 190
VI. APPLICATIONS 201
VI.l The Brauer Long Group 201
VI.2 The Brauer Wall Group 228
VI.3 Graded Brauer Groups in a Geometrical
Context 235
REFERENCES 251
INDEX 259
|
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| author | Caenepeel, Stefaan 1956- Van Oystaeyen, Freddy 1947- |
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| building | Verbundindex |
| bvnumber | BV001322563 |
| classification_rvk | SK 230 SK 320 |
| ctrlnum | (OCoLC)889536861 (DE-599)BVBBV001322563 |
| discipline | Mathematik |
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| id | DE-604.BV001322563 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:27:15Z |
| institution | BVB |
| isbn | 0824779789 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000799198 |
| oclc_num | 889536861 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-703 DE-11 |
| owner_facet | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-703 DE-11 |
| physical | X, 261 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Caenepeel, Stefaan 1956- Verfasser (DE-588)123804132 aut Brauer groups and the cohomology of graded rings Stefaan Caenepeel ; Freddy van Oystaeyen New York [u.a.] Dekker 1988 X, 261 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 121 Azumaya-Algebra (DE-588)4143831-0 gnd rswk-swf Graduierter Ring (DE-588)4158003-5 gnd rswk-swf Azumaya-Algebra (DE-588)4143831-0 s Graduierter Ring (DE-588)4158003-5 s DE-604 Van Oystaeyen, Freddy 1947- Verfasser (DE-588)128792884 aut Pure and applied mathematics 121 (DE-604)BV000001885 121 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000799198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Caenepeel, Stefaan 1956- Van Oystaeyen, Freddy 1947- Brauer groups and the cohomology of graded rings Pure and applied mathematics Azumaya-Algebra (DE-588)4143831-0 gnd Graduierter Ring (DE-588)4158003-5 gnd |
| subject_GND | (DE-588)4143831-0 (DE-588)4158003-5 |
| title | Brauer groups and the cohomology of graded rings |
| title_auth | Brauer groups and the cohomology of graded rings |
| title_exact_search | Brauer groups and the cohomology of graded rings |
| title_full | Brauer groups and the cohomology of graded rings Stefaan Caenepeel ; Freddy van Oystaeyen |
| title_fullStr | Brauer groups and the cohomology of graded rings Stefaan Caenepeel ; Freddy van Oystaeyen |
| title_full_unstemmed | Brauer groups and the cohomology of graded rings Stefaan Caenepeel ; Freddy van Oystaeyen |
| title_short | Brauer groups and the cohomology of graded rings |
| title_sort | brauer groups and the cohomology of graded rings |
| topic | Azumaya-Algebra (DE-588)4143831-0 gnd Graduierter Ring (DE-588)4158003-5 gnd |
| topic_facet | Azumaya-Algebra Graduierter Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000799198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT caenepeelstefaan brauergroupsandthecohomologyofgradedrings AT vanoystaeyenfreddy brauergroupsandthecohomologyofgradedrings |