Matrices over commutative rings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Dekker
1993
|
| Schriftenreihe: | Pure and applied mathematics
169 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 281 S. |
| ISBN: | 0824787552 |
Internformat
MARC
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| 100 | 1 | |a Brown, William C. |d 1943- |e Verfasser |0 (DE-588)138743525 |4 aut | |
| 245 | 1 | 0 | |a Matrices over commutative rings |c William C. Brown |
| 264 | 1 | |a New York u.a. |b Dekker |c 1993 | |
| 300 | |a VIII, 281 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 169 | |
| 650 | 7 | |a Algebra associativa |2 larpcal | |
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| 650 | 7 | |a Matrices |2 ram | |
| 650 | 7 | |a Matrizes (algebra) |2 larpcal | |
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| 650 | 4 | |a Commutative rings | |
| 650 | 4 | |a Matrices | |
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Datensatz im Suchindex
| _version_ | 1804120385391689728 |
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| adam_text | Contents
Preface v
1. Modules Over Commutative Rings 1
2. Matrices with Entries from a Commutative Ring 10
3. The Ideals in MnXn(R) 20
4. The Rank of a Matrix 28
5. Linear Equations 35
6. Minimal Primes and the Radical of an Ideal 52
7. The Cay ley Hamilton Theorem 62
8. Resultants 78
9. Zero Divisors in Mn n(R) 105
10. Finitely Generated Modules and Local Rings 110
11. Primary Decompositions in Noetherian Rings 123
12. Tensor Products 135
13. Fitting Ideals 149
vii
viii Contents
14. Principal Ideal Rings 175
15. The Smith Normal Form of a Matrix 180
16. The Frobenius Normal Form of a Matrix 204
17. Eigenvalues and Diagonalizing a Matrix 214
Appendix A. Partially Ordered Sets and Zorn s Lemma 230
Appendix B. The Jacobson Radical 233
Appendix C. Elimination Theory and Bezout s Theorem 242
Appendix D. The Hilbert Burch Theorem 260
Notation 267
References 275
Index 277
|
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| author | Brown, William C. 1943- |
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| dewey-full | 512.9/434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 |
| dewey-search | 512.9/434 |
| dewey-sort | 3512.9 3434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006156409 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:41:15Z |
| institution | BVB |
| isbn | 0824787552 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003894131 |
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| physical | VIII, 281 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Brown, William C. 1943- Verfasser (DE-588)138743525 aut Matrices over commutative rings William C. Brown New York u.a. Dekker 1993 VIII, 281 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 169 Algebra associativa larpcal Algebra comutativa larpcal Anneau commutatif Anneaux (algèbre) ram Matrices ram Matrizes (algebra) larpcal Théorème Hilbert-Burch Commutative rings Matrices Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 s Kommutativer Ring (DE-588)4164825-0 s DE-604 Matrizentheorie (DE-588)4128970-5 s Pure and applied mathematics 169 (DE-604)BV000001885 169 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003894131&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, William C. 1943- Matrices over commutative rings Pure and applied mathematics Algebra associativa larpcal Algebra comutativa larpcal Anneau commutatif Anneaux (algèbre) ram Matrices ram Matrizes (algebra) larpcal Théorème Hilbert-Burch Commutative rings Matrices Matrizentheorie (DE-588)4128970-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kommutativer Ring (DE-588)4164825-0 gnd |
| subject_GND | (DE-588)4128970-5 (DE-588)4037968-1 (DE-588)4164825-0 |
| title | Matrices over commutative rings |
| title_auth | Matrices over commutative rings |
| title_exact_search | Matrices over commutative rings |
| title_full | Matrices over commutative rings William C. Brown |
| title_fullStr | Matrices over commutative rings William C. Brown |
| title_full_unstemmed | Matrices over commutative rings William C. Brown |
| title_short | Matrices over commutative rings |
| title_sort | matrices over commutative rings |
| topic | Algebra associativa larpcal Algebra comutativa larpcal Anneau commutatif Anneaux (algèbre) ram Matrices ram Matrizes (algebra) larpcal Théorème Hilbert-Burch Commutative rings Matrices Matrizentheorie (DE-588)4128970-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kommutativer Ring (DE-588)4164825-0 gnd |
| topic_facet | Algebra associativa Algebra comutativa Anneau commutatif Anneaux (algèbre) Matrices Matrizes (algebra) Théorème Hilbert-Burch Commutative rings Matrizentheorie Matrix Mathematik Kommutativer Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003894131&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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