Sorry, no online dictionaries contain the exact phrase algebraic field.
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Reverse dictionary results:
1. algebra
 2. adjoin
3. ring
4. rings
5. algebraically
6. analytic geometry
7. analytical geometry
8. binomial
9. coefficient
10. equation
 11. geometric
12. identity
13. inequality
14. matrix
15. polynomial
16. quadratic
17. transpose
18. transposed
19. trinomial
20. variation
 21. member
22. values
23. bilinear
24. chemical
25. curve
26. discriminant
27. element
28. homomorphism
29. quadrinomial
30. root
 31. roots
32. conjugate
33. derivative
34. develop
35. differentiate
36. elementary
37. evolution
38. example
39. index
40. involution

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