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References to 'finite extension'
1. $p$-adic integers by djao
2. a finite extension of fields is an algebraic extension by alozano
3. algebraic closure of a finite field by Algeboy
4. algebraic number theory by alozano
5. algebraic sum and product by pahio
6. characterization of abelian extensions of exponent n by rm50
7. continuation of exponent by pahio
8. criterion of N\'eron-Ogg-Shafarevich by alozano
9. divisor theory in finite extension by pahio
10. divisors in base field and finite extension field by pahio
11. examples of fields by AxelBoldt
12. existence of Hilbert class field by mathcam
13. existence of the minimal polynomial by alozano
14. extension of valuation from complete base field by pahio
15. finite extensions of Dedekind domains are Dedekind by gel
16. function field by alozano
17. Galois group of a biquadratic extension by rm50
18. Galois representation by alozano
19. global field by Mathprof
20. infinite Galois theory by djao
21. Krasner's lemma by rm50
22. local field by djao
23. Mahler's theorem for continuous functions on the $p$-adic integers by azdbacks4234
24. module-finite by yark
25. norm by djao
26. number field by alozano
27. proof of finite extensions of Dedekind domains are Dedekind by gel
28. proof of finite inseparable extensions of Dedekind domains are Dedekind by gel
29. proof of finite separable extensions of Dedekind domains are Dedekind by gel
30. ramification of archimedean places by alozano
31. separability is required for integral closures to be finitely generated by rm50
32. Shafarevich's theorem by alozano
33. simple field extension by pahio
34. splitting and ramification in number fields and Galois extensions by alozano
35. the field extension $\mathbb{R}/\mathbb{Q}$ is not finite by alozano
36. theorems on continuation by pahio
37. topics on field extensions and Galois theory by rm50
38. topics on ideal class groups and discriminants by alozano
39. trace by djao