Fundamental concepts of algebra:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York
Acad. Pr.
1965
|
| Ausgabe: | 4. print. |
| Schriftenreihe: | Pure and applied mathematics
7 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686820&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 241 S. |
Internformat
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| 100 | 1 | |a Chevalley, Claude |d 1909-1984 |e Verfasser |0 (DE-588)117709050 |4 aut | |
| 245 | 1 | 0 | |a Fundamental concepts of algebra |c Claude Chevalley |
| 250 | |a 4. print. | ||
| 264 | 1 | |a New York |b Acad. Pr. |c 1965 | |
| 300 | |a VIII, 241 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Pure and applied mathematics |v 7 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 110 2001 A 10458(1,1965) |
|---|---|
| DE-BY-TUM_katkey | 476026 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010635073 |
| _version_ | 1821940477478305795 |
| adam_text | Contents
Preface V
Prerequisite knowledge and terminological conventions 1
Chapter I. Monoids 3
1. Definition of a monoid 3
2. Submonoids. Generators 8
3. Homomorphisms 10
4. Quotient monoids 13
5. Products 15
6. Free monoids 18
Exercises 22
Chapter 11. Groups , 25
1. Definition of a group 25
2. Subgroups 27
3. Homomorphisms. Quotient groups 29
4. Groups operating on a set 35
5. Products of groups 39
6. Free groups 40
Exercises 43
Chapter III. Rings and modules 49
1. Rings 49
2. Field of quotients 52
3. Modules 54
4. Submodules 56
5. Linear mappings 63
6. Products 69
7. Uniqueness theorems for semi simple modules 71
8. Tensor products of modules 74
9. Free modules. Bases 80
10. Multilinear mappings 83
11. Transfer of basic rings 97
12. Vector spaces 102
13. Vector spaces in duality 106
14. The rank of a linear mapping Ill
15. Matrices 112
16. Systems of linear equations 123
17. Graded modules 124
Exercises 128
Chapter IV. Algebras 137
1. Definition 137
2. Subalgebras 138
VII
VIII CONTENTS
3. Homomorphisms 139
4. Products 140
5. Free algebra 141
Exercises 143
Chapter V. Associative algebras 145
1. Definitions 145
2. Graded algebras 149
3. Tensor algebras 151
4. Tensor products of graded algebras 154
5. Anticommutative algebras 158
6. Derivations 162
7. Exterior algebras 165
8. Grassmann algebras 170
9. The determinant of a matrix 176
10. Some applications of determinants 182
11. Existence of certain derivations 187
12. The trace of a matrix 192
13. Alternating multilinear mappings 193
14. The Pfaffian of an alternating bilinear form 194
15. Exterior algebras on vector spaces 200
16. Transfer of the basic ring 204
17. Commutative tensor products 211
18. Symmetric algebras 213
19. Polynomial algebras 221
Exercises 228
Index 238
|
| any_adam_object | 1 |
| author | Chevalley, Claude 1909-1984 |
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| author_facet | Chevalley, Claude 1909-1984 |
| author_role | aut |
| author_sort | Chevalley, Claude 1909-1984 |
| author_variant | c c cc |
| building | Verbundindex |
| bvnumber | BV002624853 |
| ctrlnum | (OCoLC)67502529 (DE-599)BVBBV002624853 |
| edition | 4. print. |
| format | Book |
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| id | DE-604.BV002624853 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:52:59Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001686820 |
| oclc_num | 67502529 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-703 DE-29T DE-706 DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-703 DE-29T DE-706 DE-83 DE-188 |
| physical | VIII, 241 S. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Acad. Pr. |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spellingShingle | Chevalley, Claude 1909-1984 Fundamental concepts of algebra Pure and applied mathematics Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 |
| title | Fundamental concepts of algebra |
| title_auth | Fundamental concepts of algebra |
| title_exact_search | Fundamental concepts of algebra |
| title_full | Fundamental concepts of algebra Claude Chevalley |
| title_fullStr | Fundamental concepts of algebra Claude Chevalley |
| title_full_unstemmed | Fundamental concepts of algebra Claude Chevalley |
| title_short | Fundamental concepts of algebra |
| title_sort | fundamental concepts of algebra |
| topic | Algebra (DE-588)4001156-2 gnd |
| topic_facet | Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686820&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010177228 |
| work_keys_str_mv | AT chevalleyclaude fundamentalconceptsofalgebra |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 110 2001 A 10458(1,1965)
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |