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13A15 - Commutative rings and algebras :: General commutative ring theory :: Ideals; multiplicative ideal theory

  1. Chinese remainder theorem owned by bwebste
  2. noncommutative case Chinese remainder theorem for rings owned by polarbear
  3. contracted ideal owned by drini
  4. entries on finitely generated ideals owned by pahio
  5. equivalent characterizations of Dedekind domains owned by gel
  6. every PID is a UFD owned by rm50
  7. every PID is a UFD - alternative proof owned by joking
  8. existence of maximal ideals owned by yark
  9. extended ideal owned by drini
  10. finite extensions of Dedekind domains are Dedekind owned by gel
  11. first isomorphism theorem owned by rspuzio
  12. fractional ideal owned by djao
  13. generators of inverse ideal owned by pahio
  14. homogeneous ideal owned by archibal
  15. ideal owned by djao
  16. ideals contained in a union of ideals owned by joking
  17. ideals contained in a union of radical ideals owned by joking
  18. image ideal of divisor owned by pahio
  19. internal direct sum of ideals owned by Mathprof
  20. invertibility of regularly generated ideal owned by pahio
  21. invertible ideals are projective owned by gel
  22. irreducible ideal owned by CWoo
  23. lattice of ideals owned by CWoo
  24. maximal ideal owned by djao
  25. maximal ideal is prime owned by pahio
  26. multiplication ring owned by PrimeFan
  27. multiplication rule gives inverse ideal owned by pahio
  28. PID owned by mps
  29. PID and UFD are equivalent in a Dedekind domain owned by rm50
  30. prime ideal factorization is unique owned by gel
  31. principal ideal owned by djao
  32. principal ideal ring owned by Wkbj79
  33. product of finitely generated ideals owned by pahio
  34. proof of Chinese remainder theorem owned by mclase
  35. proof of finite extensions of Dedekind domains are Dedekind owned by gel
  36. proof of finite inseparable extensions of Dedekind domains are Dedekind owned by gel
  37. proof of finite separable extensions of Dedekind domains are Dedekind owned by gel
  38. proof of invertible ideals are projective owned by gel
  39. proof of the weak Nullstellensatz owned by pbruin
  40. proof that a domain is Dedekind if its ideals are invertible owned by gel
  41. proof that a domain is Dedekind if its ideals are products of maximals owned by gel
  42. proof that a domain is Dedekind if its ideals are products of primes owned by gel
  43. proof that a Noetherian domain is Dedekind if it is locally a PID owned by gel
  44. regular ideal owned by pahio
  45. the set of prime ideals of a commutative ring with identity owned by bwebste
  46. third isomorphism theorem owned by yark
  47. topics on ideals owned by pahio
  48. zero ideal owned by pahio

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