Sorry, no online dictionaries contain the exact phrase infimum algebra.
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Reverse dictionary results:
1. maximum
2. supremum
3. algebraic
4. algebraically
5. algebraist
6. algebraize
7. analysis
8. analytic
9. analytic geometry
10. analytical geometry
11. analyze
12. binomial
13. boole
14. coefficient
15. cubic
16. denominator
17. diophantus
18. equation
19. fraction
20. idempotent
21. identity
22. inequality
23. linear
24. linear algebra
25. math
26. mathematics
27. matrix
28. matrix algebra
29. member
30. method
31. monomial
32. nth
33. proof
34. quadratic
35. quadratics
36. rational
37. theorem
38. transpose
39. transposed
40. trinomial

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You can look up the words in the phrase individually using these links:   infimum ?   algebra ?
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