Commutative rings with zero divisors:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York [u.a.]
Dekker
1988
|
| Schriftenreihe: | Pure and applied mathematics
117 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000527032&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 216 S. |
| ISBN: | 0824778448 |
Internformat
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| 245 | 1 | 0 | |a Commutative rings with zero divisors |c James A. Huckaba |
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Datensatz im Suchindex
| _version_ | 1819281686545825792 |
|---|---|
| adam_text | Contents
Preface v
I. Total Quotient Rings 1
1. Preliminaries 1
2. Property A 2
3. Zero Dimensional Rings 9
4. Compactness of Min R 14
Notes 21
II. Valuation Theory 23
5. Valuations 23
6. Priifer Rings 28
7. Marot Rings 31
8. Krull Rings I 37
Notes 48
ix
x Contents
III. Integral Closure 53
9. Integral Closure as Intersections 53
10. Krull Rings II 55
11. Integral Closure of Noetherian Rings I 60
12. Integral Closure of Noetherian Rings II 63
13. When Polynomials Rings Are Integrally Closed 72
Notes 81
IV. Overrings of Polynomial Rings 85
14. Properties of R(X) 85
15. Principal Ideals and Y cR(X) 89
16. When R(X) Is Integrally Closed 97
17. The Ring R(X) 103
18. Divisibility in R(X) and R(X) 109
19. Multiplicatively Closed Subsets of R[X] 119
20. Kronecker Function Rings 122
21. Kronecker Function Rings and R(X) 128
22. Kronecker Function Rings and R[X]iU^ 133
Notes 140
V. Chained Rings 143
23. Chained Rings 143
24. Homomorphic Images of Valuation Domains 152
Notes 159
VI. Constructions and Examples 161
25. Idealization 161
26. A + B rings 169
27. Examples 172
Notes 194
Index of Main Results 197
Bibliography 205
Index 213
|
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| id | DE-604.BV000839264 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:27:35Z |
| institution | BVB |
| isbn | 0824778448 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000527032 |
| oclc_num | 242448254 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-703 DE-19 DE-BY-UBM DE-11 DE-706 |
| owner_facet | DE-12 DE-384 DE-739 DE-703 DE-19 DE-BY-UBM DE-11 DE-706 |
| physical | X, 216 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spellingShingle | Huckaba, James A. Commutative rings with zero divisors Pure and applied mathematics Kommutativer Ring (DE-588)4164825-0 gnd Nullteiler (DE-588)4202323-3 gnd |
| subject_GND | (DE-588)4164825-0 (DE-588)4202323-3 |
| title | Commutative rings with zero divisors |
| title_auth | Commutative rings with zero divisors |
| title_exact_search | Commutative rings with zero divisors |
| title_full | Commutative rings with zero divisors James A. Huckaba |
| title_fullStr | Commutative rings with zero divisors James A. Huckaba |
| title_full_unstemmed | Commutative rings with zero divisors James A. Huckaba |
| title_short | Commutative rings with zero divisors |
| title_sort | commutative rings with zero divisors |
| topic | Kommutativer Ring (DE-588)4164825-0 gnd Nullteiler (DE-588)4202323-3 gnd |
| topic_facet | Kommutativer Ring Nullteiler |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000527032&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT huckabajamesa commutativeringswithzerodivisors |