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prime ideal

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Every nonzero prime ideal in a P.I.D. is a maximal ideal

  • Post published:June 13, 2023
  • Post category:Mathematics/Ring Theory
  • Post comments:0 Comments
Continue ReadingEvery nonzero prime ideal in a P.I.D. is a maximal ideal

Show that (x) is a prime ideal of R[X] iff R is an integral ideal

  • Post published:April 2, 2023
  • Post category:Mathematics/Ring Theory
  • Post comments:0 Comments
Continue ReadingShow that (x) is a prime ideal of R[X] iff R is an integral ideal

The ideal P is a prime ideal of a commutative ring R iff R/P is an integral domain

  • Post published:March 29, 2023
  • Post category:Mathematics/Ring Theory
  • Post comments:0 Comments
Continue ReadingThe ideal P is a prime ideal of a commutative ring R iff R/P is an integral domain
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