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12F05 - Field theory and polynomials :: Field extensions :: Algebraic extensions

  1. p-extension owned by alozano
  2. a condition of algebraic extension owned by pahio
  3. a finite extension of fields is an algebraic extension owned by alozano
  4. algebraic closure of a finite field owned by Algeboy
  5. algebraic extension owned by alozano
  6. algebraically closed owned by djao
  7. algebraically dependent owned by mathcam
  8. alternative definition of algebraically closed owned by polarbear
  9. basis of ideal in algebraic number field owned by pahio
  10. cardinality of algebraic closure owned by rspuzio
  11. conjugate fields owned by pahio
  12. degree of an algebraic number owned by Wkbj79
  13. every algebraically closed field is perfect owned by polarbear
  14. examples of minimal polynomials owned by Wkbj79
  15. examples of trace and norm owned by polarbear
  16. existence of extensions of field isomorphisms to splitting fields owned by azdbacks4234
  17. existence of the minimal polynomial owned by alozano
  18. expressible owned by Wkbj79
  19. finite extension owned by drini
  20. finite field cannot be algebraically closed owned by rspuzio
  21. Galois subfields of real radical extensions are at most quadratic owned by rm50
  22. integral closures in separable extensions are finitely generated owned by rm50
  23. irreducible polynomials obtained from biquadratic fields owned by Wkbj79
  24. Kummer theory owned by alozano
  25. minimal polynomial owned by Wkbj79
  26. norm owned by djao
  27. orders in a number field owned by pahio
  28. primitive element theorem owned by alozano
  29. proof of basis of ideal in algebraic number field owned by lalberti
  30. proof of Kummer theory owned by rm50
  31. proof of primitive element theorem owned by alozano
  32. quadratic closure owned by CWoo
  33. quadratic extension owned by CWoo
  34. radical owned by Wkbj79
  35. relative algebraic closure owned by polarbear
  36. separability is required for integral closures to be finitely generated owned by rm50
  37. separably algebraically closed field owned by polarbear
  38. splitting field owned by djao
  39. splitting field of a finite set of polynomials owned by polarbear
  40. square roots of rationals owned by pahio
  41. Steinitz theorem owned by kshum
  42. the field extension \mathbb{R}/\mathbb{Q} is not finite owned by alozano
  43. topics on field extensions and Galois theory owned by rm50
  44. trace owned by djao
  45. Zariski lemma owned by polarbear

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