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13G05 - Commutative rings and algebras :: Integral domains

  1. a finite integral domain is a field owned by yark
  2. alternative proof that a finite integral domain is a field owned by Wkbj79
  3. an Artinian integral domain is a field owned by yark
  4. an integral domain is lcm iff it is gcd owned by CWoo
  5. Bezout domain owned by CWoo
  6. Dedekind-Hasse valuation owned by Henry
  7. equivalent definitions for UFD owned by joking
  8. every PID is a UFD owned by rm50
  9. every PID is a UFD - alternative proof owned by joking
  10. example of a Bezout domain that is not a PID owned by Wkbj79
  11. example of PID owned by sleske
  12. example of ring which is not a UFD owned by alozano
  13. finite ring has no proper overrings owned by pahio
  14. gcd domain owned by CWoo
  15. half-factorial ring owned by pahio
  16. integral domain owned by djao
  17. irreducible owned by drini
  18. irreducible of a UFD is prime owned by pahio
  19. motivation for Euclidean domains owned by Wkbj79
  20. orders of elements in integral domain owned by pahio
  21. PID owned by mps
  22. PID and UFD are equivalent in a Dedekind domain owned by rm50
  23. prime element is irreducible in integral domain owned by me_and
  24. prime factors of x^n-1 owned by pahio
  25. proof that a gcd domain is integrally closed owned by CWoo
  26. properties of a gcd domain owned by CWoo
  27. regular elements of finite ring owned by pahio
  28. ring without irreducibles owned by pahio
  29. Schreier domain owned by CWoo
  30. UFD owned by drini
  31. UFD's are integrally closed owned by rm50
  32. valuation domain owned by mathcam
  33. valuation domain is local owned by pahio
  34. zero divisor owned by cvalente
  35. zero rule of product owned by pahio

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