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  1. Affine algebraic variety
  2. Affine ring
  3. Affine scheme
  4. Algebraic extension
  5. Algebraic norm in a number field
  6. Annihilator of Noetherian module has Noetherian quotient
  7. Artinian implies IZ
  8. Associate elements
  9. Associate implies same orbit under multiplication by group of units in integral domain
  10. Associated prime to a module
  11. Associated primes turns short exact sequences to sub-unions
  12. Birational map of varieties
  13. Blowup algebra
  14. Book:Eisenbud
  15. Cartier divisor
  16. Cayley-Hamilton theorem
  17. Characteristic of a ring
  18. Characteristically Euclidean domain
  19. Classification of norm-Euclidean imaginary quadratic integer rings
  20. Codimension of an ideal
  21. Coefficient field
  22. Cohen structure theorem
  23. Compact space
  24. Completion of a ring
  25. Conductor of a numerical semigroup
  26. Connected scheme
  27. Content of a polynomial
  28. Contraction of an ideal
  29. Dedekind-Hasse norm
  30. Dedekind-Hasse norm implies principal ideal ring
  31. Depth of an ideal
  32. Determinantal ideal theorem
  33. Determinantal ring
  34. Dimension of an ideal
  35. Divided polynomial ring
  36. Dominant rational map
  37. Eisenstein's criterion
  38. Element of minimum Dedekind-Hasse norm is a unit
  39. Element of minimum norm among non-units in Euclidean ring is a universal side divisor
  40. Element of minimum norm in Euclidean ring is a unit
  41. Elements in same orbit under multiplication by group of units are associate
  42. Equivalence of dimension notions for Noetherian local ring
  43. Euclidean implies Dedekind-Hasse
  44. Euclidean norm
  45. Euclidean not implies norm-Euclidean
  46. Euclidean ring that is not a field has a universal side divisor
  47. Every Euclidean ring has a unique smallest Euclidean norm
  48. Every binomial polynomial is irreducible but not prime in the ring of integer-valued polynomials over rational integers
  49. Every proper ideal is contained in a maximal ideal
  50. Extension of an ideal

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