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References to 'fraction field'
1. $0\ne 1$ as real numbers by mps
2. $p$-adic integers by djao
3. alternative definition of Krull valuation by polarbear
4. classical ring of quotients by mclase
5. continuation of exponent by pahio
6. decomposition group by djao
7. Dedekind domain by mathcam
8. discrete valuation by djao
9. discriminant by djao
10. divisor theory and exponent valuations by pahio
11. divisor theory in finite extension by pahio
12. divisors in base field and finite extension field by pahio
13. example of an infinite field of finite characteristic by vitriol
14. examples of fields by AxelBoldt
15. examples of integrally closed extensions by rm50
16. exponent valuation by pahio
17. field adjunction by pahio
18. finite extensions of Dedekind domains are Dedekind by gel
19. forcing by ratboy
20. formal power series by AxelBoldt
21. fractional ideal by djao
22. function field by alozano
23. Galois representation by alozano
24. Gauss's lemma II by bshanks
25. generated subring by polarbear
26. henselian field by mps
27. implications of having divisor theory by pahio
28. integral closures in separable extensions are finitely generated by rm50
29. integral domain by djao
30. integrally closed by rmilson
31. integrity characterized by places by pahio
32. Krull valuation domain by pahio
33. localizations of Dedekind domains are Dedekind by gel
34. non-constant element of rational function field by pahio
35. p-adic canonical form by pahio
36. place of field by pahio
37. prime subfield by djao
38. proof of algebraic independence of elementary symmetric polynomials by lalberti
39. proof of Eisenstein criterion by rspuzio
40. proof of finite extensions of Dedekind domains are Dedekind by gel
41. proof of finite inseparable extensions of Dedekind domains are Dedekind by gel
42. proof of finite separable extensions of Dedekind domains are Dedekind by gel
43. proof of finitely generated torsion-free modules over Pr\"ufer domains by gel
44. proof of localizations of Dedekind domains are Dedekind by gel
45. proof that a domain is Dedekind if its ideals are invertible by gel
46. proof that a Noetherian domain is Dedekind if it is locally a PID by gel
47. Pr\"ufer domain by mathcam
48. ramification index by djao
49. rational function by CWoo
50. rational number by djao
51. rational root theorem by drini
52. reflective subcategory by CWoo
53. Riemann-Hurwitz theorem by alozano
54. separability is required for integral closures to be finitely generated by rm50
55. separable by djao
56. sheaf of meromorphic functions by archibal
57. simple field extension by pahio
58. structure sheaf by djao
59. the ring of integers of a number field is finitely generated over $\mathbb{Z}$ by alozano
60. total ring of fractions by pahio
61. UFD's are integrally closed by rm50
62. valuation determined by valuation domain by pahio
63. valuation domain by mathcam
64. valuation domain is local by pahio
65. valuation ring of a field by rm50
66. weak approximation theorem by rm50