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

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