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Book Categories |
| 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. | Prufer Rings | 28 |
| 7. | Marot Rings | 31 |
| 8. | Krull Rings | 37 |
| Notes | 48 | |
| III. | Integral Closure | 53 |
| 9. | Integral Closure as Intersections | 53 |
| 10. | Krull Rings II | 55 |
| 11. | Integral Closure of Noetherian Rings | 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 Pic R(X) | 89 |
| 16. | When R(X) Is Integrally Closed | 97 |
| 17. | The Ring R[less than sign]X[greater than sign] | 103 |
| 18. | Divisibility in R[less than sign]X[greater than sign] 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] [subscript (u subscript 2)] | 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 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
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Add Commutative Rings with Zero Divisors, The first book-length discussion to provide a unified treatment of commutative ring theory for rings containing zero divisors by the ideal theoretic method, Commutative Rings with Zero Divisors also examines other important questions regarding the ideals , Commutative Rings with Zero Divisors to the inventory that you are selling on WonderClubX
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Add Commutative Rings with Zero Divisors, The first book-length discussion to provide a unified treatment of commutative ring theory for rings containing zero divisors by the ideal theoretic method, Commutative Rings with Zero Divisors also examines other important questions regarding the ideals , Commutative Rings with Zero Divisors to your collection on WonderClub |