Sorry, no online dictionaries contain the exact phrase nonexistence of nontrivial zero divisors.

Reverse dictionary results:
1. aliquot
 2. divide
3. nothing
4. annihilation
5. nothingness
6. naught
7. void
8. being
9. nonentity
10. nowhere
 11. nullity
12. annihilate
13. disconnection
14. nada
15. agnostic
16. entity
17. nihility
18. nonbeing
19. null
20. complex
 21. sets
22. components
23. divisor
24. equilibrium
25. important
26. non
27. products
28. puzzling
29. understood
30. erase
 31. nil
32. vanish
33. vanishingly
34. abrogate
35. absent
36. annul
37. completely
38. entirely
39. existing
40. fully

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