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  1. Adequate domain
  2. Affine algebraic variety
  3. Affine domain
  4. Affine ring
  5. Affine scheme
  6. Algebraic extension
  7. Algebraic norm in a number field
  8. Annihilator of Noetherian module has Noetherian quotient
  9. Applying Artin-Rees lemma
  10. Applying Noetherianness
  11. Artin-Rees lemma
  12. Artin-Tate lemma
  13. Artinian implies Cohen-Macaulay
  14. Artinian implies IZ
  15. Artinian ring
  16. Associate elements
  17. Associate implies same orbit under multiplication by group of units in integral domain
  18. Associated prime to a module
  19. Associated primes turns short exact sequences to sub-unions
  20. Automorphism-invariant Euclidean norm
  21. Automorphism-invariant norm
  22. Automorphism group acts transitively on fibers of spectrum over fixed-point subring
  23. Bezout domain
  24. Bezout implies gcd
  25. Bezout ring
  26. Birational map of varieties
  27. Blowup algebra
  28. Book:Eisenbud
  29. Cancellative ring
  30. Cartier divisor
  31. Catenary module
  32. Catenary ring
  33. Cayley-Hamilton theorem
  34. Characteristic ideal
  35. Characteristic of a ring
  36. Characteristic subring
  37. Characteristically Euclidean domain
  38. Chinese remainder theorem
  39. Classification of norm-Euclidean imaginary quadratic integer rings
  40. Codimension of an ideal
  41. Coefficient field
  42. Cohen-Macaulay ideal
  43. Cohen-Macaulay implies universally catenary
  44. Cohen-Macaulay is polynomial-closed
  45. Cohen-Macaulay ring
  46. Cohen structure theorem
  47. Coherent ring
  48. Commutative unital ring
  49. Compact space
  50. Complete intersection

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